The Portugal winger's current deal at United is due to run out at the end of next season and he has been linked with a move away from Old Trafford. However, the 26-year-old is hoping to show Sir Alex Ferguson he deserves a new deal with his performances over the remainder of the campaign as United chase a Barclays Premier League and FA Cup double.
He said in several national newspapers: "I want to show the manager that he can trust me and he can believe in me in every match."
He added: "I want to show him my contribution can help win games. So I'll keep working hard to make sure I'm ready to respond every time I get a chance."
Nani has been in and out of the United side this season and was absent for two months after suffering a hamstring injury against Braga in November.
However, he has started three of United's last four matches, including last week's Champions League last-16 second leg against Real Madrid in which he was controversially sent off, and is eager to keep his spot in the first XI.
"Now my confidence is high and I think the best is still to come from me," he added.
"This is my time and I think I can be important for the team in these big games.
"Because I was injured for two months, I'm fresh now when some other players are starting to get tired.
"I feel I'm in good form and I've nearly arrived at my peak. I think over the next few games I can surprise a few people."