The French forward has said he would be open to accept any offers that he could not refuse
The French striker opened his account for the new season in style over the weekend, bagging a hat-trick in Lyon's 3-0 win at AS Nancy Lorraine.
Lacazette netted a hat trick for Lyon over the weekend
But Lacazette himself, speaking after his side's victory over Nancy, did say he would be open to offers, but that he is comfortable where he is.
"If there are offers that can't be refused, I'd like to not refuse them.
"But I'm very comfortable at Lyon. The proof was there today that I was in the right state of mind," he explained.
"I scored three goals - I'm pleased. With my teammates, everything is going well. So for me all is well."
Arsenal's Rob Holding in action with Liverpool's Philippe Coutinho
Pressure is already beginning to mount on Arsenal boss Arsene Wenger, after his side shipped four goals in their season opener against Liverpool on Sunday.
Jurgen Klopp's side looked a class apart at times going forward, picking off the Gunners' visibly vulnerable back line with some terrific goals.
Arsenal lost 4-3 at home to Liverpool
And despite rallying to bring the score to 4-3, Arsenal were unable to salvage anything from the game, leading to calls for further investment in playing staff.