After Sunday's 1-1 draw with Tottenham, Carragher claimed Liverpool do not press off the ball like they did during last season's Premier League title winning campaign.
Ahead of tonight's Champions League clash with Galatasaray, Slot responded: "I agree with a lot of things Jamie has said throughout this whole season. This particular one, I disagree with him. I don't see this after we conceded for 1-1. After so many disappointments, it would not have been strange or weird if the players had given up.
"But they did not. I can tell you, they had a counter-attack where seven or eight of our players were back in our 18-yard-box and we blocked the shot and the corner led to a chance all the way on the other side for Hugo Ekitike.
"A team that has given up, a team of individuals or a team that does not work together, does not show that resilience after our 120th setback this season. That is a bit of an exaggeration but we have had many.
"I don't know why he (Carragher) said it, what he meant with it, what examples he used to say this. Again, he said a lot of things throughout this season that I agree with because I see similar. I cannot always say them but I have seen similar. It is helpful for me to not go into detail with other ones I have agreed with."
He went on to add: "That we are still not a unit that I want? Then again we are agreeing but that comes with not playing so many times together. It is not like we are 11 individuals, if he meant that then I completely disagree.
"If he means we are not perfectly playing together in ball possession and off the ball then he is right. That is nothing to do with an individual mentality but that the connections are not as strong yet. All these things we have to adjust to every single team. I see a team that is fighting together."