Rooney surpassed Bobby Charlton as United's top scorer with his 250th goal in their 1-1 Premier League draw at Stoke City on Saturday.
The 31-year-old came off the bench in that match and his future is far from certain, with the England skipper no longer an automatic starter under Jose Mourinho at Old Trafford.
"I'm committed," Rooney told Sky Sports after receiving the Football Writers' Association's Tribute Award on Sunday for his services to English football. "I have been at the club for a long time.
"Football is a strange game. Anything can happen and things change very quickly but I am happy at Manchester United.
"Of course, as I have said before, I want to play more games.
"I am in a happy place, a good moment personally, so I think I have a year, with an option [of a] year to go. We will see what happens and what happens after that."
Rooney, who was subject to a bid from Beijing Guoan before the start of the season, has made 16 Premier League appearances this season, with half of those as a starter. He has scored two goals in the league and five in all competitions.