The Dane is surprised the PSG striker has never played in England.
"You've got to ask Zlatan why he hasn't played in England yet, but I'd love to see him at Manchester United," Schmeichel told Expressen.
“I don't know who he supports, but he's a born Manchester United player, he would be absolutely brilliant.
“I think our supporters would love him, if he ever made that move, he wouldn't move again.
“For Zlatan to play the way we love him to play, he has to be Zlatan.
“A lot of people are comparing Zlatan with Eric, Eric Cantona. He had a difficult time before he came to United.
“He had 11 clubs in France and a trial at Sheffield Wednesday and Trevor Francis didn't fancy him and then he had six months at Leeds and Howard Wilkinson didn't fancy him.
“But then he came to United and the rest is history. He's arguably the greatest player we've ever had.
“I think he's so suited to the Premier League and he has loads of time left in his career, I hope we see him there.”
For the big stories and the banter follow us on Twitter: @tribalfootball