Van Persie will make his home debut today against Fulham.
Schmeichel told the Manchester Evening News: "I'm very excited about him because, for me, it's a game-changer. He was either going to go blue or red and he always said he wanted to go red. For me, that shows great intent.
"I like the fact that he was so focused about playing for United because he wanted to win trophies. I think he tips it in United's favour to win the Premier League. Obviously he has to go out and perform.
"He had a magnificent season last season and it will be very difficult to reproduce that kind of form. But coming to Old Trafford, he will have quality players around him to provide him with chances. I expect him to be very successful."