While with Real Sociedad, Griezmann admits he fielded interest from the Gunners, but they failed to follow up.
He recalled: "After the 2013 season, I had scored 10 goals in a row. 34 championship matches with Real Sociedad.
"During that summer, one approach caught my attention. It emanated from Arsenal.
"I focused on this possibility and I dismissed the other potential proposals. To join the club directed for so many years by Arsène Wenger could attract me. I waited, waited and waited ... Finally, a few hours from the end of the transfer market, we were made to understand that Arsenal would not follow up. So there has never been an offer. I do not like to say one thing and not stand by it.
"Also, when more recently, Eric Olhats [his adviser] spoke to me about the interest of the London club, I replied: Forget it. With the blow they made us."