The France attacker was linked with a €120m move to Barcelona over the weekend.
Not even winning the World Cup earned him the Ballon d'Or, in conjunction with the Europa League.
The No 7 will not be short of offers, despite his huge salary.
Griezmann has never hidden his like of the Red Devils. At Old Trafford he'd be able to team up with good friend and fellow World Cup winner Paul Pogba.