The Belgian midfielder has endured a disappointing debut campaign at Old Trafford after his big-money arrival from Everton.
Fellaini is determined to put his difficulties behind him and win over the United fans next season.
"I will look to show what I can do next season," Fellaini told the Daily Telegraph. "For people to not forget me, we have to win a trophy."
The 26-year-old also claimed injury problems have disrupted his progress at United this season with a series of niggles restricting him to 19 appearances in the Premier League.
"I need to be fit to be good," added Fellaini. "Even when I am injured I can play but the fitness is not the same.
"I was injured for three months and that was a difficult moment for me. When you arrive in a new team you want to play, you want to stay with the team and when you can't play it is difficult to see the team.
"When this season finishes I will start with my preparation for the next year and it will be good. I feel I know the players now. I know the club. It has been a good experience to be training with Wayne Rooney and Robin van Persie."