Following last year's strong links with Manchester United that culminated in the French global extending his contract with Los Rojiblancos - then under a recruitment ban - until 2022, Griezmann, who has a release clause of €100million (£88m), finds himself at the centre of a drawn-out transfer saga for the second successive summer. "He is going through an exceptional time in his career".
His representatives are believed to be looking in England for his next team.
The player continues to remain quiet but has said that he will officially announce a decision on his future before the World Cup starts. Adding another expensive forward into the mix could complicate matters further and leave at least one of that quintet unhappy about missing out.
Every strip assessed including England, Nigeria and Germany
Nigeria's "Naija" kit has been a pop culture phenomenon since Nike released the design in February and began accepting preorders. The World Cup is set to kick off on June 14 with a game between Russian Federation and Saudi Arabia.
Would you like to see Griezmann at Barca next season?
The diminutive French striker is heading to the World Cup with France soon and is hoping this fresh batch of young French talent can deliver on all the promise they've shown in the last few years.
Asked about his transfer plans, to either Barcelona or Manchester United, or if he might stay put at Atletico Madrid, Griezmann told Spox.com: 'I'm still thinking about it, I have decided anything yet.
The 27-year-old forward - a Europa League victor with Atletico in 2017-18 after scoring 29 goals in all competitions - has a reported €100million release clause.