The France attacker is expected to leave this summer for Barcelona, which are prepared to meet his €100m buyout clause.
Fueling the speculation is Barca have left their No7 shirt vacant, which is the same Griezmann wears with Atletico.
However, Cerezo is adamant their star attacker leaving for Barca is no sure thing.
"Can Griezmann stay at home? Atlético Madrid? I believe so and I am convinced of that, yes," said the Atleti president.