The French attacker only joined current side Atletico Madrid from Real Sociedad last summer, at which time he was heavily linked with the Gunners.
He’s, so far, justified the £22m fee the capital-based outfit paid for him, with his goals and energy having helped the reigning La Liga champions to overcome the loss of Diego Costa.
Atleti have Griezmann tied to a contract that runs until 2020, and are not ready to offer him a better salary due to the length of time left to run and the high pay he’s already on.
This has alerted clubs such as Chelsea to the 22-goal forward, who could grow disillusioned with the situation.
Griezmann is a senior France international and represented his country at the World Cup last summer.