Fekir has previously been strongly linked with moves to both Barcelona and Arsenal.
The 24-year-old has scored 21 times in 34 appearances for Lyon during the 2017-18 campaign, and according to his agent Jean-Pierre Bernes, there could be movement at the end of the season.
"If at the end of the season, and this is not the case today, there was a decision to be made, then we would sit down with President Aulas and we would find the right solution," Bernes told Le Dauphine Libere.
"Respecting first and foremost Lyon. At home, we do not leave like a savage or after a showdown. Nabil is in a big French club if not the biggest. You know very well that at some point, we may be able to ask questions about a departure.
"The decision will be taken in all intelligence, as professionals, and especially in the interests of all parties. When you leave your training club, to whom we owe everything, we leave in good conditions.
"If we have to leave... Nabil has the personal goal of being part of a top 10 club in Europe. He has the potential. Without burning the steps. A career, it is built, little by little. We must not burn ourselves, be careful, because football, it goes quickly."
Fekir has spent his entire professional career with Lyon.