Taylor is one of Rodgers' most vocal fans.
He said: "I think the Liverpool players should be relishing working with Brendan.
"I think he is great to work with and he will make them all better players, even the ones who are already world-class.
"The style of football we play, I think everybody has enjoyed watching it this year, and I am sure Liverpool will have seen it and they should be excited to work with him.
"The two years I have been there he personally has made me into a player I didn't know I could be and he will push the players to be the best they can be.
"I think I was asked in February/March whether I was worried about him leaving and I think I said then he can be a top-four manager - it's as simple as that. He can work at that level."