Last week sources told Goal.com that the Gunners boss was looking to bring the France international to the Emirates Stadium on loan in January in order to bolster his midfield options.
But Wenger insists he is happy with the midfielders currently at his disposal and, with Jack Wilshere set to return from a long injury layoff in the new year, he has no plans to bring in anyone else.
"He is a player I like a lot and I believe people have been very critical towards him in France," the Gunners boss told Canal+.
"However, we won't be in the winter market for any midfield positions considering that our players are back from injuries."
Gourcuff himself also revealed he has no plans to make an imminent move to England.
"I am a Lyon player," the 25-year-old told Canal Football Club.
"My objective is to achieve a very good second part of the season with Lyon which could allow me to play at Euro 2012."
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