The France international has been strongly tipped with a move away from the Wanda Metropolitano, with Barcelona and Manchester United said to be keen admirers.
However, Atletico have remained adamant in their intentions to retain their star striker’s services and have once again underlined that stance.
Speaking to Spanish TV channel Mega about Griezmann, Gil Marin said: "It is impossible that he will leave this team before the summer.
"Last summer we made a great effort well beyond the club's possibilities and we will do it once again next summer.
"We have struggled to join together these two players (Griezmann and Diego Costa) and I think it will be very good for the two to compete together. It will be very good for Atletico and it will be good for the coaches. Until July 1, his [buyout] clause is €200m.
"Atletico do not want to sell him, not now, nor in the summer. For us he is a very important player, who has grown a lot with us and we have grown with him. Our intention is to continue growing together. I would love him to continue."