The French international moved to the Vicente Calderón from Real Sociedad in 2014, for £24m. He has since gone on to become one of the most highly regarded forwards in the world, scoring 58 goals in just 100 La Liga appearances and attracting the interest of United.
And Griezmann has admitted that a move to one of the “big clubs”, including Bayern Munich, is definitely on the cards.
"Why not?” Griezmann told L’Equipe when asked about a possible move away from Atletico. “That's the dream for every player - to be at big clubs like that, or Bayern Munich.
“But right now I don't see myself at Barcelona or Real, or anywhere else.
"I have no intention of leaving Atletico Madrid, for Paris Saint-Germain, China, the USA, Russia, or elsewhere."
Griezmann has also made it clear that his future is not dependent on whether or not Diego Simeone stays at the club.
"He [Simeone] will leave one day, and in the summer I called him up to check if he was going to stay on," he said.
"He told me of his plans for the season, that he wanted me to stay, and that made me feel happy.
"But we're not inseparable."