The 23-year-old put in another impressive performance in England's 5-0 win over Moldova on Friday night, enhancing his growing reputation.
The Welshman told Sky Sports News: "He is a really good player. He had a really good start last season and then got injured and it was a bit of a stuttering season.
"But, this year, I was with him at the Olympics and he was brilliant and he has started the season on fire.
"Hopefully he can go through the season injury-free and I am sure he will play lots of games for United and England."
Cleverley joined the youth setup at Old Trafford in 2000 from Bradford City.