Greenwood says United must end their four-year trophy drought next season.
"We need to win trophies and that's our aim at the end of the season," said Greenwood.
"Like last season, we missed out slightly, but hopefully next season will be a lot better."
United begin their pre-season campaign on Sunday with a visit to Derby, managed by their all-time leading scorer Wayne Rooney, who bagged 253 goals in 13 years at Old Trafford.
Greenwood idolised Rooney as he came through the United youth system and said the former Reds skipper is the one player who could help him develop as a striker.
“I'd probably go with Wayne," said Greenwood. “He's done it all and is the leading scorer.
“I'd probably just ask him, like not how he played, because you can watch how he played, but any tips on how you can get in between defenders and how you can anticipate the game a bit more.
“Obviously, he scored hundreds and hundreds of goals for United. That would be the little question I would ask him."
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