The former Red Devils goalkeeper believes the fans would love to see the Sweden international at Old Trafford and suggests he would have a similar impact to that of Eric Cantona
The Sweden international notched 30 goals to help lead PSG to the Ligue 1 title in the 2012-13 campaign although there was speculation that he might be tempted to leave the club following the departure of coach Carlo Ancelotti to Real Madrid.
And while the 31-year-old former AC Milan striker does seem set to remain at Parc des Princes, Schmeichel is adamant he would be a welcome addition to David Moyes' squad.
He told Expressen: "You've got to ask Zlatan why he hasn't played in England yet, but I'd love to see him at Manchester United.
"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.
"We're a very big football club and we've had players behaving in different ways throughout the history of the club. The managers have always been able to handle that and get the maximum out of the players.
"A lot of people are comparing Zlatan with 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."