Russian club Rubin had a £7 million bid for the forward turned down on Friday, with Lyon reportedly wanting closer to £10m.
However, the 26-year-old France international has said he has no interest in leaving the Stade Gerland in any case.
"I have always protested loudly about wanting to stay in Lyon," he told reporters. "I am for this club.
"I want to be part of the project. The coach is counting on me so I intend to defend the colours.
"I want to prepare well for this season and getting back into the Champions League."
Gomis may be a part of Lyon's future, but club president Jean-Michel Aulas is still hopeful of getting some of the team's biggest names such as Michel Bastos, Kim Kallstrom and Aly Cissokho off the wage bill.
Lyon embark on a pre-season tour of USA next week, and they are scheduled to face Ligue 1 champions Montpellier at New Jersey's Red Bull Arena on July 28.