It is believed Griezmann was Arsene Wenger’s top transfer target over the summer, the Arsenal manager failing in a what would have been a groundbreaking Premier League transfer.
Having impressed for France at Euro 2016, it emerged that Manchester United boss Jose Mourinho declared an interest in the 25-year-old.
However, the Premier League duo may be forced to wait for Griezmann’s signature, the striker claiming he would only consider leaving the club if manager Diego Simeone walks away.
“The only doubt would be if Simeone leaves for PSG or wherever,” he told Telefoot.
“I called him before extending my contract and he confirmed to me that he was staying. I can learn a lot from him.
“PSG are not my goal at the moment. I’m happy in Spain.
“I’m always proud to be popular with the fans. I try to smile and do my best. If they like it, it’s even better.”
Griezmann has already confirmed he had several offers to leave Atletico Madrid this summer amid interests from Premier League big boys Manchester United, Arsenal and Chelsea.
The France international was the top scorer at Euro 2016 and fired Diego Simeone’s side to the Champions League final.
Griezmann enjoyed a marvellous 2015-16 campaign, scoring 32 goals in all competitions for Atletico before going on to star for France at Euro 2016, netting six times as the hosts reached the final.
He was unsurprisingly in demand this summer but he insists he never thought about leaving the Spanish capital.
Griezmann has developed into one of Europe’s most impressive performers. His excellent goalscoring record, allied to an infectiously positive style, puts him in the mix among the most coveted attacking players.