The 24-year-old defensive midfielder is reportedly wanted by the Gunners and Serie A giants Napoli - and Aulas admits Lyon have already received several bids for their club captain.
He said: "Unfortunately there are several clubs that made offers, one of them superior to £13m Euros. But, he is part of our strategy. And with that I know, Maxime wants to stay at Lyon."
On the future of another midfielder who may be heading for the Premier League, Yoann Gourcuff, Aulas added: "Yoann is part of the players that have had no real success at Lyon.
"We didn't recieve an offer for him, but we had talks about a possible departure."