Griezmann, who netted a brace as Atleti beat Marseille 3-0 in Wednesday’s Europa League final in Lyon, has been strongly linked with Barcelona.
The France forward was quoted by Marca as saying after the game: ‘Now is not the time to talk about the future.’
Antoine Griezmann led Atletico Madrid to Europa League victory with two goals in the final
Atleti boss Diego Simeone, meanwhile, said the club would continue to grow whether they lost Griezmann or not.
Gil Marin also spoke on the matter, being quoted by Cadena SER as saying: ‘It’s down to his feelings, not those of his family or his entourage.
‘It’s him who must decide whether he wants to make history at Atletico Madrid where everything revolves around him, or go to a club where he will never make history.
‘He is human and we must respect his decision.’
Gil Marin last week said in a statement regarding Griezmann published on Atletico’s official website that they were ‘fed up with Barcelona’s attitude’, and accused the Nou Camp outfit of showing ‘an absolute lack of respect’ towards Atleti with recent comments about the player.
With rumours of him leaving, Atletico Madrid’s chief executive has handed him an ultimatum
That was shortly after Barca president Josep Maria Bartomeu revealed he met with Griezmann’s agent earlier in the season.
Griezmann, who has been with Atletico since 2014, is on a contract that runs to 2022.
On Wednesday, the 27-year-old struck in the 21st minute and then again four minutes after the interval, before an effort from skipper Gabi late on wrapped things up.
With the Europa League clinched, Simeone’s side will next look to seal their current position of second in LaLiga when they host Eibar on Sunday in their final game of the campaign.
They are three points clear of third-placed Real Madrid, who have a significantly better goal difference. Real are at Villarreal on Saturday.
Marseille, whose captain Dimitri Payet limped off in the first half in Lyon having gone into the match unsure about his fitness, conclude their season with Saturday’s Ligue 1 home clash against Amiens.
Miguel Angel Gil Marin tells Griezmann he won’t make history if he moves to another club
Currently fourth, they are hoping to move into the top three to secure a spot in next season’s Champions League.
Rudi Garcia’s men are a point behind third-placed Lyon, who host Nice, and three behind Monaco, who are at Troyes. Both Lyon and Monaco have a better goal difference than them, by 11 and five respectively.
Asked if it was going to be easy to switch focus to the Amiens match, Marseille defender Adil Rami, quoted by L’Equipe, said: ‘Of course. Our audience is waiting for us.
‘We can only be proud of ourselves: we had a good season.
‘You have to be smart, keep a cool head, and tell yourself that this is not the game that will change the quality of our season.