Gervinho has been linked with a move away from Arsenal this summer and there has been speculation of a switch to Roma, who are now coached by his former Lille boss Rudi Garcia.
However, there have been claims in France that Gervinho could be on his way to Lyon as part of a swap deal which would see Yoann Gourcuff go in the opposite direction.
Former Arsenal midfielder Garde has ruled out a bid for the Ivory Coast international and will instead turn to within the Lyon ranks for attacking reinforcements.
"This has only come from the press," Garde told Le Progres in response to the speculation.
"I've heard that Lyon is interested in Gervinho, but Gervinho is a striker, and we have young and very good strikers already at the club."
Gervinho, who can play out wide or up front, has scored 11 goals in 63 appearances for Arsenal since joining from Lille two years ago.
He has also been linked with Marseille and reports have claimed that Arsenal want at least €10million (£8.6m) before agreeing to sell the 26-year-old.