The 25-year-old is one of the most sought-after players in the game and has been linked with a move away from Atletico on more than one occasion, despite penning a new deal at the Vicente Calderon until 2021 in June.
Manchester United are allegedly keen to lure him to Old Trafford and Griezmann has now boosted the Premier League side's hopes of getting their man by admitting he can see himself in the English top flight.
"A transfer between Atletico Madrid and Real Madrid is not an option," Griezmann told Telefoot.
"Barcelona would be an option. But they have three untouchables in attack at the moment.
"PSG could be an interesting option, but I do not want to move to Ligue 1 at this stage of my career.
"I prefer to stay in La Liga or maybe move to the Premier League. I have heard the Premier League is crazy, so why not?
"But I do not want to leave Atletico at all costs."
Griezmann was named player of the tournament at Euro 2016 after finishing with six goals for France, following an excellent season with Atletico, where he helped Diego Simeone's side reach the Champions League final.
Former United midfielder Paul Scholes believes that Griezmann would be an excellent signing for Mourinho, and has tipped him to replace Zlatan Ibrahimovic for the Red Devils.
"I think Griezmann would be up there," Scholes told BT Sport.
"He looks like a top centre forward for Atletico.
"I think we need to be in the market for someone like that."