He has since declared that he has no regrets at opting against a big-money switch , despite enduring an uncharacteristic dip in form during the 2017-18 campaign.
A deal could still happen, though, with Griezmann admitting that his career path may one day see him put concerns about the British weather to one side and head for the Premier League.
In his biography, ‘Behind a smile, the life of the Little Prince told by himself’, the 26 year-old said: “I have nothing against England, apart from the weather, Manchester United is a possibility.
"In June 2017 I prolonged my contract. I am tied to the club until 2022.
"While I have everything to be happy, this doesn't mean I won't leave one day.
“I have not made a decision. It all depends on several factors.
"As much as I repeat that I am delighted at Atletico, I have a great coach and great teammates, they regularly ask me about my future.
“I do not exclude anything.”
Griezmann is ruling nothing out as he knows how quickly football can change.
Had Diego Simeone left Atletico in 2016, then the French forward admits he may also have headed for the exits.
He said: “I learn daily from him and I want to continue doing it, if he had left the summer of 2016, maybe I would have imitated him.”