The Bayern Munich legend quit the Allianz Arena for United this summer, making a £12.6m transfer and signing a three-year deal.
And, ahead of United's crunch Champions League play-off tie with Club Brugge, he told Bild: "When you know how the coach ticks, and how he wants to play football, it makes the decision easier.
"But for the main part I came to England because of the club Manchester United.
"That the coach fits well, is of course ideal."
Schweinsteiger is also expecting to increase his already incredible medal haul, which includes eight league titles, the Champions League and the World Cup, in his time at Old Trafford.
He explained: "It's not like I can say: I have signed for three years, now we'll win three straight titles.
"The Premier League is a very strong league. Chelsea, Manchester City, Arsenal and Liverpool all have a high quality.
"But those who know me also know that I always want to win titles. And I think that Manchester United are a club which can win titles."
"I am convinced that it is possible to usher in a new era at Manchester United- especially under Louis van Gaal.
"Just like when he took over at FC Bayern. That excites me.
"I can promise that I will give it my all and will try to help the club reach the level of Real Madrid, Barcelona and Bayern once again."
He also admitted his pride at being the first German to represent the Red Devils.
The 31-year-old added: "That's an absolute honour. I didn't even know before making the move that no German has played here."
