Cleverley, who impressed on his debut against Sunderland last time out, is now looking to catch the eye of Wigan coach Roberto Martinez in training and secure a place in his starting XI.
He told the Wigan Evening Post: "Obviously I'd love to get one over United's rivals on Sunday, if selected.
"It's games like this that I came to Wigan to play, and hopefully we can do something against them.
"I only got 20 minutes against Sunderland but it was nice to get out there on the pitch.
"Obviously the circumstances were difficult, 1-0 down and they were just sitting in there. But we equalised and could even have won it at the end.
"My focus now is getting a good week of training under my belt and proving to the gaffer I deserve a place on the pitch against City."