The star’s value shot through the roof following a stellar Euro 2016 campaign, although he staved off a move away in order to enjoy one more season together with Los Rojiblancos.
That, however, looks set to change sooner rather than later with Manchester United reportedly most keen to snap Griezmann up.
And Paddy Power have installed the Old Trafford outfit as favourites at Evens (2.00) to make possibly the coup of the summer in luring the 25-year-old to join his compatriot Paul Pogba.
Manchester City are expected to have their say, though, but the Etihad Stadium side are currently priced some way off at 14/1 (15.00). That could all change, though, should Pep Guardiola sanction the sale of Sergio Aguero.
Bayern Munich have been credited with an interest in Griezmann in the past but they sit at 18/1 (19.00) outsiders at the moment, with a move for another star name in the wake of Renato Sanches’ arrival last summer perhaps beyond the financial capabilities of the German giants.
That could leave an opening for Chelsea or Barcelona to pounce while Paris Saint-Germain lurk in the background to bring Griezmann back to his native France - with the trio of clubs available at 20/1 (21.00).
Intriguing is the interest from Barca, who, despite being unlikely able to afford the Atletico star given their current wage situation, could be forced into action to sign a replacement for Lionel Messi should he be sold in the event he does not extend his contract at Camp Nou.