Cleverley has struggled for form this season.
"My confidence has been a little bit low at times this season," Cleverley admitted to the Mirror. "There is not much worse for a player than getting it off his own fans.
"I don't mind hearing stick off 19 of 20 Premier League clubs. But when it comes from your own fans, it hurts a little bit more.
"The fans at Old Trafford have been magnificent. It's just background noise you can't help hearing when you're a United player.
"You have got to learn not to take it on board. You have to remind yourself you got yourself in this position through talent and hard work.
"My skin is a lot thicker now. I go into every game with a clearer head. You have just got to ride out the hard times.
"The history of this club is all about fighting back and I am absolutely determined that my future is here and that I will fight back with it."