“We are interested in Podolski,” Tanman told TRT.
The Lions have been closely linked with the Germany international and made a bid back in January but Podolski ended up joining Inter on loan.
Podolski has since admitted that joining the Italian giants was a mistake but also revealed that he would still be keen on fighting for his place in the Arsenal team.
“I’ve always felt comfortable there. With the fans, with the team and also with the manager. I’m going back to play, I have to say my qualities suit Arsenal,” Podolski was quoted as saying in the Guardian.
“Inter? Last season went how it went. English football is the one which best suits my style but I know how suddenly everything can change.
“I have characteristics to help different teams but it was a mistake to go to Inter with no redemption clauses.”
The World Cup winner also recently stated that he would be open to a move to Turkey if an offer was made.
The World Cup winner told NTV Sport: “If an offer comes from Turkey, I will sit down and talk about it with my family and girlfriend.
“If I find the right club, the right coach, the right environment, I will evaluate it.
“If these conditions are met, I think everything is possible.
“The next transfer could be my last, so I have to take a well-thought step.”
Galatasaray manager Hamza Hamzaoğlu also underlined that he would like to see the German international join Galatasaray.
The Lions would be able to offer Podolski a lucrative salary as well as first team and Champions League football.