The Ligue 1 club have turned down the Partenopei's bid for the 24-year-old, who, according to club president Jean-Michel Aulas, is now prepared to stay at the Stade de Gerland
The 24-year-old, who has been at the club since the age of 10, has made 27 appearances for the Ligue 1 outfit this season and his impressive performances have attracted the attention of many European sides.
However, Lyon president Jean-Michel Aulas is reluctant to sell and has stated the player’s future lies at the Gerland.
"I just had a chat with [Napoli counterpart] De Laurentiis. I respect him, he is a great president. I told him that Gonalons will remain in Lyon,” he told French radio station RMC.
“Coach Remi Garde told me it was absolutely necessary that we keep Gonalons. I'm 100 per cent certain that Gonalons will stay until June.
“Napoli offered €17m (£14m) for Gonalons last night. But we convinced him that his future was in Lyon."
Just days before Napoli made the bid, Gonalons admitted it would be hard to turn down the Serie A side, should they make an offer.
“We all know that Napoli is interested in me, but when a big club like that wants you, you have to evaluate things,” Gonalons told Olympique Lyonnais TV.
“At the beginning of next week there will be meetings with the Aulas and the coach to find the best solution for my future.
"Now it is up to the three parties to find an agreement."