It is believed that the Red Devils could turn their attention to Belotti if their pursuit of Real Madrid's Alvaro Morata comes to nothing.
Any potential suitor, though, could struggle to prise the Italian from Torino as he has four years remaining on his contract.
"With Belotti we're tied to him until 2021," Cairo told Tuttomercatoweb. "Then clearly it's very important that he remains happy as I hope he is.
"There's been no contact with Milan, nor Paris Saint-Germain, these are more journalistic stories."
Belotti has been a Torino player since his 2015 switch from Palermo.