Evra received a letter from Liverpool CEO Peter Moore around three days later.
Speaking on Sky Sports, he said: "I was pleased Jamie Carragher apologised. I received a personalised letter from Peter Moore and I was really touched about it.
"Three days after the show. I was like thank you very much, this is really touching my heart. But I was really disappointed for such a long time about a big club like Liverpool supporting a cause like that.
"Now I can see real honest people working for this club and I now have even more respect for Liverpool because they are fighting against a problem for the human race.
"I was really pleased but I said 'I still hope you don't win the league!' three months ago.
"It was really important for me and even though we have a big rivalry between us but it showed Liverpool is a top class club."