Rodgers told reporters: "I was a bit frustrated, but I don't regret what I said. I am big enough to respect the man Jose is and the manager he is.
"He is a great man, I know that. It was never personal; it was a professional look at the game. I am never one to say that my way is always the best way. I have a huge appreciation for the way he works and his team.
"But I still think what I said was right. I knew exactly what I was saying."
Liverpool face Crystal Palace on Monday in their next Premier League outing.