Klopp, a defender himself in his playing days, said: "Is Mr Sergio Ramos really a good guy? He's not my favourite player. The action was brutal. Of course, he can't know that it's bothering his shoulder, but we all know that he accepted it very happily.
"I could never understand that mentality, I never had players like that and, when I did, I made sure they left."
Though Kroos went on to defend his former team-mate Ramos, Klopp added: "He may not be my favourite player, but it doesn't matter. I always thought that my centre-backs were good enough not to be involved in actions like that."