The Premier League giants failed to progress beyond the group stage of the competition last season, and the 27-year-old wants to "make amends" this term.
"It was disappointing, especially for a club like us," he told UEFA.com. "Everybody was bitterly disappointed to go out at the stage that we did.
"We are a club that wants to get all the way and win the Champions League, and everyone is looking to make amends in every single game we play."
United are currently at the top of Group H with six points from two matches and will host Sporting Braga at Old Trafford on Tuesday.