In an interview with Telefoot, Griezmann ruled out playing in Ligue 1 anytime soon, admitting instead that he would prefer to move to another club in La Liga or switch to the English top flight.
The striker did stress, though, that he is "good" at Atletico and that a transfer "is not necessarily one of my objectives".
"I cannot go to Real - there is a pact between the two clubs that prohibits a transfer," said Griezmann. "At Barca, there is no pact but their front three are indispensable.
"PSG? It is an interesting possibility but Ligue 1 does not interest me for now. I would prefer to stay in La Liga or go to the Premier League."
Griezmann, who joined Atletico from Real Sociedad in 2014, has scored 22 league goals in each of his last two seasons.