Neymar came in for heavy criticism for his theatrics which again detracted from his undoubted talent with the ball at his feet.
His antics did not go down well with Carragher who was summarising on the game in Paris for Via Sport.
"It was very frustrating," Carragher moaned. "Neymar was shameful and if he continues like this throughout his career, he will be remembered for this instead of being a great player.
"PSG are a great team with some great players and don't need to resort to these tactics. I don't know how they return home and talk to their families and wives."
Liverpool's qualification hopes are in the balance after they lost 2-1 in France and Klopp shared Carragher's frustrations with the Brazilian superstar. He was absolutely fuming with the PSG players - especially Neymar.
Klopp moaned: "If you act like you die and the next moment you get up again, you give a yellow card. It is not sportsmanlike behaviour.
"In the end, it is hectic all the time, everyone is going down and it is not football anymore. It was an important game and everybody tries to do it like they have to. I don't want to say Paris didn't deserve it because they scored two and we scored one.
"I never expect help from a ref, but calm all these things down. It doesn't happen that often to be 100% honest, but it happened tonight and we were not calm enough. I know it is really difficult to stay calm in that situation and even Joe Gomez got a yellow card. He is the nicest boy on this planet but he was close to getting red and you thought they were all in danger and that made it quite difficult. But we lost because they scored two and we scored one and we didn't play well enough."
Predict just 10 W-D-W results, it's that simple! Join thousands of players and see if you can come out on top with a Perfect 10...
We are very interested in hearing your thoughts on The Sportsman, good or bad!
And in return, you could win a pair of tickets to the Cheltenham Gold Cup 2019!