The German international recently claimed that he could leave the Gunners during the January transfer window after falling down the pecking order at the Emirates Stadium.
However, Wenger is confident that the 29-year-old still has plenty to offer last season's FA Cup winners.
"It is quite simple: there is no transfer market at the moment. When there is no transfer market, you are all on board – or not on board. It is like that," he is quoted as saying by Sky Sports News.
"This is a job where you can only be successful if you're fully committed. You cannot be half in and half out, so all this transfer speculation is not considered at all. We are all on board to get results, and Podolski will be part of that."
Podolski has made six appearances in all competitions for Arsenal so far this season.