The Reds lost 1-0 to the Potters on Saturday, with the only goal of the game coming from a contentious penalty award after Jamie Carragher was adjudged to have fouled Jon Walters.
Walters picked himself up to rifle home the spot-kick, and Liverpool were subsequently denied at least one legitimate penalty appeal when Matthew Upson appeared to handle a Luis Suarez cross.
The outcome left Reds boss Dalglish a frustrated figure, and he hinted he may not be able to abide by the Football Association's 'Respect the Referee' campaign much longer if inconsistencies continue.
"No one here wants to see this club suffer. I'm not taking anything away from Stoke City, but I think some of the decisions that were made today were hard to take."
Kenny Dalglish Quotes of the week
"For us, we do feel a bit frustrated about a lot of things that happened that were out of our control," the Scot told Sky Sports.
"In the four games we've played in the league, every single one of them has had a contentious decision and I don't think you'll find we've been of benefit.
"We find it hard to take and we're trying our best to be respectful to the campaign that we have, but if the club's going to suffer in any way, shape or form because I'm being too respectful by not standing up for the football club, then I've got to address that.
"No one here wants to see this club suffer. I'm not taking anything away from Stoke City, but I think some of the decisions that were made today were hard to take."
Despite the club's first defeat of the season, Dalglish was pleased with his side's effort as they bombarded Stoke's goal with wave after wave of attack, but without finding a way through.
"It's disappointing that the lads have nothing to show for it but you cannot fault them for the standard of their performance," he said.
"We were in control of our own destiny apart from actually scoring the goal. We did most things right, but sometimes things that are out of your control dictate games and I think today was one of those.
"Stoke is a difficult place to come and play anyway. They're all very well organised and Tony [Pulis] has them playing for the cause, which is fantastic."
Jamie Carragher has praised Stoke City's
The visitors, who travel to Tottenham for their next encounter, went down 1-0 to the Potters, with Jon Walters scoring the only goal of the game from the penalty spot after being felled by Carragher.
Liverpool threw a barrage of attacks at Stoke's defence, but the home side put in a resilient display in keeping them out, with Ryan Shawcross and Asmir Begovic particularly impressive.
"That's the Premier League and that's football, it's Stoke's day today," said vice-captain Carragher, despite having doubts over the penalty awarded against him.
"We can probably be pleased with the way we've performed but at the end of the day we've come away with nothing.
"They defended great. They do great their keeper and the back four. They've been like that for a long time, especially at home.
"And, being a defender myself, you can only admire how they did it, especially in the second half."
Carragher was reluctant to make a judgement on the accuracy of the penalty decision against him, but certainly feels Liverpool should have had one of their own.
He added: "I'd like to see it again but at the time I thought it was a little bit harsh. It may have been or it may not have been, I'll have to have a look at it.
"One has gone against us and the others haven't gone for us, so we feel a little bit aggrieved.
"It's a disappointing day but if we can play like that at Spurs hopefully we'll get something."
Liverpool threw a barrage of attacks at Stoke's defence, but the home side put in a resilient display in keeping them out, with Ryan Shawcross and Asmir Begovic particularly impressive.
"That's the Premier League and that's football, it's Stoke's day today," said vice-captain Carragher, despite having doubts over the penalty awarded against him.
"We can probably be pleased with the way we've performed but at the end of the day we've come away with nothing.
"They defended great. They do great their keeper and the back four. They've been like that for a long time, especially at home.
"And, being a defender myself, you can only admire how they did it, especially in the second half."
Carragher was reluctant to make a judgement on the accuracy of the penalty decision against him, but certainly feels Liverpool should have had one of their own.
He added: "I'd like to see it again but at the time I thought it was a little bit harsh. It may have been or it may not have been, I'll have to have a look at it.
"One has gone against us and the others haven't gone for us, so we feel a little bit aggrieved.
"It's a disappointing day but if we can play like that at Spurs hopefully we'll get something."
Has been captaining the side in Steven Gerrard's absence
The 33-year-old centre-half slipped up in his last outing for the club, making the error which allowed Bolton to breach Liverpool's defence in an otherwise comfortable 3-1 win.
Liverpool have since signed promising young defender Sebastian Coates, and the club's vice-captain admits he is looking over his shoulder at the next generation queuing up for his place
"Young players at the club say, 'I have to be like Carra in training' because they can see that I put in a shift in every session," Carragher told The Times.
"But why should I rest on my laurels just because I have been in the top flight for so long?
"I am always looking to up my game because I feel that I still have something to prove. Even today some Liverpool fans are asking questions about my age and how long I will last.
"You could call it obsessive, but I have always agonised over my errors. My face hit the floor when the slip-up happened."
Jamie Carragher on his error against Bolton Quotes of the week
Coates
"The club has just signed a new centre-back who will be knocking at the door. There is no room for complacency."
And the former England international is still hurting from the error against the Trotters, despite the fact it had no bearing on the result of the Anfield win.
Carragher added: "You could call it obsessive, but I have always agonised over my errors. My face hit the floor when the slip-up happened."
Meanwhile, Carragher, who turns 34 in January, still has two years remaining on his contract but has hinted that he may call it a day if the club decline the opportunity to extend it.
He said: "My contract is up for renewal in two years, but I would not want to play for any other club.
"Life is not just about money. There are other things, important things that have a different kind of value. Anyone from Liverpool could tell you that."
Liverpool have since signed promising young defender Sebastian Coates, and the club's vice-captain admits he is looking over his shoulder at the next generation queuing up for his place
"Young players at the club say, 'I have to be like Carra in training' because they can see that I put in a shift in every session," Carragher told The Times.
"But why should I rest on my laurels just because I have been in the top flight for so long?
"I am always looking to up my game because I feel that I still have something to prove. Even today some Liverpool fans are asking questions about my age and how long I will last.
"You could call it obsessive, but I have always agonised over my errors. My face hit the floor when the slip-up happened."
Jamie Carragher on his error against Bolton Quotes of the week
Coates
"The club has just signed a new centre-back who will be knocking at the door. There is no room for complacency."
And the former England international is still hurting from the error against the Trotters, despite the fact it had no bearing on the result of the Anfield win.
Carragher added: "You could call it obsessive, but I have always agonised over my errors. My face hit the floor when the slip-up happened."
Meanwhile, Carragher, who turns 34 in January, still has two years remaining on his contract but has hinted that he may call it a day if the club decline the opportunity to extend it.
He said: "My contract is up for renewal in two years, but I would not want to play for any other club.
"Life is not just about money. There are other things, important things that have a different kind of value. Anyone from Liverpool could tell you that."
Dalglish Has worked with Comolli to remodel Liverpool's squad
Since returning to the role as Anfield boss in January, the Scot, along with director of football Damien Comolli, has set about remodelling an underperforming playing staff.
Eighteen squad members have left Liverpool, while millions of pounds have been spent bringing in the likes of Andy Carroll, Luis Suarez, Jordan Henderson and Stewart Downing among others.
Craig Bellamy and Sebastian Coates were the most recent arrivals, as the signings of the pair were confirmed on transfer deadline day.
Dalglish is delighted with the business to date and, ahead of Saturday's match at Stoke, he said: "I think the quality of the squad we have is better than it was last year.
"It's not a team that wins any trophies, it's a squad and the stronger our squad is, the better chance we have of coping with the problems that come up throughout the season.
"We're happy with the strength of our squad and the business we've done.
"It's not just the transfer window that's been busy for us, there's been a big turnaround in players which has been very important for us."
Eighteen squad members have left Liverpool, while millions of pounds have been spent bringing in the likes of Andy Carroll, Luis Suarez, Jordan Henderson and Stewart Downing among others.
Craig Bellamy and Sebastian Coates were the most recent arrivals, as the signings of the pair were confirmed on transfer deadline day.
Dalglish is delighted with the business to date and, ahead of Saturday's match at Stoke, he said: "I think the quality of the squad we have is better than it was last year.
"It's not a team that wins any trophies, it's a squad and the stronger our squad is, the better chance we have of coping with the problems that come up throughout the season.
"We're happy with the strength of our squad and the business we've done.
"It's not just the transfer window that's been busy for us, there's been a big turnaround in players which has been very important for us."
The Brazil international was sent off at Stoke last season
Kenny Dalglish has guided his club to seven points from their opening three Premier League matches and Luis Suarez has inspired some attractive football.
But the match at the hostile Britannia Stadium, where Liverpool have never won in the league, represents a stern examination of their credentials.
Lucas was sent off in a 2-0 defeat to Stoke last season, which was one of the low points of Roy Hodgson's tenure, and the Brazil international is expecting a gruelling encounter before next weekend's trip to Tottenham.
"We know we have two away games now and it's really important to get points in the away games," he told Liverpool's official website. "It always makes a big difference at the end of the season.
"We have to keep going and try to play well - the same way we have in the first three games. If we do, I am sure we will get points and we'll have another good month.
"We know how difficult it is to play against Stoke, especially on their own ground. They have a physical game and big players, and their set pieces are always really difficult to defend. We have to go there ready to fight, try to play football and win.
"A lot of big clubs go there and can't win, but it will be a very good test for us to see how we cope with this type of team."
If Liverpool are to defeat Stoke, they are likely to have to keep former striker Peter Crouch quiet after his £10million transfer deadline day move from Tottenham.
Cameron Jerome was also signed by Tony Pulis on the final day of August, while Lucas knows Kenwyne Jones represents a threat.
"Crouchy is very good in the air and with the ball at his feet. He can make things happen. And we know Jerome was an important player for Birmingham," said the Liverpool midfielder
"They will probably be very excited playing their first game at the stadium for their fans, so we have to be aware of that."
But the match at the hostile Britannia Stadium, where Liverpool have never won in the league, represents a stern examination of their credentials.
Lucas was sent off in a 2-0 defeat to Stoke last season, which was one of the low points of Roy Hodgson's tenure, and the Brazil international is expecting a gruelling encounter before next weekend's trip to Tottenham.
"We know we have two away games now and it's really important to get points in the away games," he told Liverpool's official website. "It always makes a big difference at the end of the season.
"We have to keep going and try to play well - the same way we have in the first three games. If we do, I am sure we will get points and we'll have another good month.
"We know how difficult it is to play against Stoke, especially on their own ground. They have a physical game and big players, and their set pieces are always really difficult to defend. We have to go there ready to fight, try to play football and win.
"A lot of big clubs go there and can't win, but it will be a very good test for us to see how we cope with this type of team."
If Liverpool are to defeat Stoke, they are likely to have to keep former striker Peter Crouch quiet after his £10million transfer deadline day move from Tottenham.
Cameron Jerome was also signed by Tony Pulis on the final day of August, while Lucas knows Kenwyne Jones represents a threat.
"Crouchy is very good in the air and with the ball at his feet. He can make things happen. And we know Jerome was an important player for Birmingham," said the Liverpool midfielder
"They will probably be very excited playing their first game at the stadium for their fans, so we have to be aware of that."
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