The star forward has made it clear he will depart Atletico Madrid after five years and the French World Cup winner has been tipped to join Spanish champions Barcelona.
However, PSG have emerged as a possible destination for Griezmann, with uncertainty over star duo Kylian Mbappe and Neymar.
And Griezmann's has asked for patience on his future, as the 28-year-old hinted that a move away from Spain could be in the cards this summer.
"I want my future to be decided more than anyone, but there's a need to wait.
"I don't know if I'll remain in Spain. Maybe in two weeks we'll know something. I just want to play football and have fun."
Despite constant links to Barcelona since announcing his departure from Atletico, signs in recent times have made it increasingly clear that Griezmann could in fact be headed elsewhere.
Griezmann – who was born in France and spent most of his career in Spain – joined Atletico from Real Sociedad in 2014.
Since arriving, he has won the Europa League, UEFA Super Cup and Supercopa de Espana in Madrid.
The forward netted 15 La Liga goals as Atletico finished second behind Barca in 2018-19, while he netted 21 in all competitions.