The forward has seen his playing time at the Emirates Stadium severely limited this season, with the 29-year-old yet to make a Premier League start in 2014/15.
Podolski himself has aired his frustration at being overlooked by Wenger, but the French tactician is determined to retain the striker’s services.
“It is not established at all that he will leave at Christmas,” Wenger told beIN Sports.
“It is me who sets the price and (the reported deal) doesn’t correspond at all to his price. He is not for sale and there is no offer.
“Podolski plays a position where there is a big competition. He came very late from his holidays [after the World Cup in the summer], so he started after his team-mates and was not good physically.”