The German was heavily linked with a move over the summer, with the Arsenal manager sanctioning his sale, but the forward says he can still play a big role at the Emirates.
Podolski was a target for the likes of Juventus as well as Wolfsburg and Bayer Leverkusen in his native Germany, after Wenger sanctioned the sale of the forward, but no deal materialized and he subsequently remained at the Emirates following the close of the transfer window.
Olivier Giroud's fractured tibia — which will sideline him for around four months — may mean Podolski, still searching for full fitness after Germany's World Cup win, sees more game time at Arsenal, despite the deadline-day signing of Danny Welbeck.
Podolski also said he had no offers to leave Arsenal in the transfer window, despite a number of inquiries.
"A move away from Arsenal did not fall through because I had no offers to move," he added. "There have been inquiries from other countries, also from Bundesliga clubs, but I am from Cologne and it would have been tough for me to represent any other German club."