The England left back arrived from Southampton earlier in the summer after representing his country at the World Cup in Brazil.
And as he prepares for his Old Trafford bow on Tuesday in the friendly against Valencia, the 19-year-old is setting his sights on a successful campaign.
"I have come here to win trophies"
Luke Shaw on his move to United
"You have got to be positive and, for me personally, I have come here to win trophies," Shaw told MUTV. "It is something everyone wants, not just me. Everyone in that dressing-room is looking to do it.
"We want to win the Premier League. Obviously there is no Champions League for us this season, so the main focus is on the Premier League and we all cannot wait to get started."
Shaw has pulled on the red shirt of United already during the club’s US Tour, but his upcoming debut appearance at the 'Theatre of Dreams' has him brimming with anticipation.
"As a kid, it’s a dream to play at Old Trafford," he said. "It’s one of the biggest arenas in the world, you would say.
"To know it’s going to be my home ground is something special. I can’t wait to get my first touch on the pitch just to relish it."
And on the challenge of their opponents, Valencia, Shaw says United will not be taking them lightly.
"Every game is serious. We want to improve as a team and the way we can do that is going into the game properly by using the scouts to discover what they are like and see how we are going to play against them. I think it will help us.
"The main thing is obviously the first Premier League game against Swansea, but we want to keep improving as a team and getting used to the formation so we will be flying when the season starts."
The full interview with Luke Shaw will be on MUTV on Monday from 18:30.