Cleverley made 22 Premier League appearances last season but struggled to find consistent form as the Red Devils endured a miserable campaign under David Moyes.
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"I have to show that in training and, most importantly, games. I think there's a place for me but I have to prove it."
After missing out on a spot in Roy Hodgson's England squad for the World Cup, Cleverley feels refreshed after a longer summer.
"I managed to have a good break and recharge my batteries," he continued. "Now we're back and all trying to impress the boss.
"We know what he wants - a passing and moving style. He's very clear and we have a good group of lads who are willing to learn.
"We made a good start the other night [in a 7-0 win over LA Galaxy] and we'll see how we go from there."