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The 29-year-old has, however, fallen short of expectations, with only 15 goals scored in 46 appearances.
Questions have been asked of his working relationship with Lionel Messi and whether Barca will keep him around if they dip back into the market for another fearsome frontman.
Deschamps, though, claims Griezmann’s quality is “inarguable” and believes a proven performer at the very highest level will come good in time.
He told RTL: “His situation does not worry me.
“I have no doubt over his abilities. They are inarguable.
“All players have a period in a first year at a new club where things are maybe a bit more difficult. He has the mentality to deal with it.”
It could be that Griezmann is not seen again in the current campaign, with an untimely thigh injury having been picked up.
With Barca having just two La Liga games left to play, it is unlikely that the Frenchman will figure in Quique Setien’s plans.
That is set to ramp up the pressure on others, with the Blaugrana refusing to throw in the towel on their title defence.
Real Madrid have edged a point clear at the top of the table, with a game in hand, but a door remains open to Barca.
They are, however, having to chase their ambitious targets with no loyal fan base to cheer them on, with competitive action continuing to take place behind closed doors.
On the absence of supporters from football around the world, Deschamps said: “It is not really football.
“Normally, there are emotions, full stadiums, but today that is not possible. Even for the players, they are missing adrenaline. It is not complete pleasure, it cannot be.”