The 18-year-old Belgian winger has yet to make a first-team appearance for United but was named on the bench for the 5-5 draw at West Brom in Sir Alex Ferguson's final game last season.
Januzaj was taken on the club's pre-season tour to the Far East and Australia by boss David Moyes and has made a positive impression so far.
"My target for the season is to try and get some games for the first team," he said.
"I have not spoken to the manager about it yet but I would prefer to do that rather than go out on loan.
"That is what I came here for. Everyone wants to play for Manchester United."
The former Anderlecht player has also been seeking guidance from veteran winger Ryan Giggs, who is now part of United's coaching staff.
"For the first few months when I came here, it was very hard," said Januzaj. "But gradually, my English started to improve. I could speak to other people and connect with them.
"Now I feel confident and happy to be with the players, and in particular Ryan Giggs. Every time I need to ask something, I go to Giggs. He helps me quite a lot."