The club have insisted that the rumours surrounding any transfer of the 24-year-old are untrue and he will remain at the Stade de Gerland this summer
Rumours of his departure have swirled with the transfer window rapidly approaching but the French side have said that the defensive midfielder - linked with the likes of Napoli and Arsenal in recent weeks - will not be leaving as he is a key part of their future plans.
"Olympique Lyonnais were very surprised to read in L'Equipe this morning that we would set a transfer figure for Maxime Gonalons and that it would be more than €12 million," the statement on the club's official website read.
"The club have no intention of parting with our captain and this is a matter of clear strategy, namely the further development of our club around our best young players from the academy of which Maxime Gonalons is one of the best examples.
"The club therefore deny any contact and any negotiations with Napoli and regret any suggestion otherwise, as suggested in this newspaper."
Gonalons started 35 of 38 games for Lyon this season and played the full 90 in each of those matches.
The 24-year-old, who has been at the Ligue 1 club since the age of 10, has picked up six caps for France to date.