The 30-year-old has recovered from a long spell out with ulcerative colitis and feels that he is beginning to return to his best form.
"I feel great. I'm slowly but surely getting my fitness and form back. In the last month, I've felt really good and, with my performances, I feel like I have done well," Fletcher told the club's official website. "I just want to kick on now, get a good summer and be back next season fighting for a place in the team.
"There is so much quality in this dressing room. The players went out at Newcastle trying to prove a point and trying to impress the manager, which is what we have got to do.
"When there is competition for places, every time you get the opportunity to play you have got to try and put in a performance so the manager remembers it."
The Red Devils are currently seventh in the Premier League table.