Curtis Davies, Ashley Young and an own goal by Lucas Leiva sealed the win for Villa.
“That was a terrific effort from my team. At 2-0 we were in reasonable command of the game, although you are never in command at Anfield,” he said.
“But when they scored we got a penalty straightaway, a clean penalty, and we were back with our two-goal lead.
“That gave us confidence, discipline and shape to our team and we deserved to win.
“Brad Friedel was outstanding. He rolled back the years. He was fantastic against his old club to perform like that at Anfield.
“He will be delighted with himself, and rightly so, and we are delighted with him.
“It was a fantastic performance from the whole side and we fully deserved the victory.”