Cleverley was impressive alongside the Blues veteran.
Lampard said: "I thought he did very well. I am impressed with him as a lad and as player.
"Watching him play for Manchester United and Team GB, he is a very accomplished footballer. I think he has got it all at his feet.
"He has got great feet, is a good personality. I like him a lot.
"He was not fazed and that probably comes from playing at Old Trafford, playing with good players, but it is still a step up to play for England and it was his debut. He took to it and made it look easy."