“I have agreed with Galatasaray,” he was quoted as saying.
“I want to leave.”
Galatasaray manager Hamza Hamzaoğlu did recently state that the club have been in talks with the World Cup winner.
Podolski himself gave the green light to Süper Lig clubs when he underlined that he would consider playing in Turkey.
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.”
The experienced striker fell out of favour with Arsene Wenger last season and was loaned to Inter in January but struggled to settle in.
The 28-year-old only manager to score once in 15 Serie A games for the Italian giants.
Galatasaray are yet to confirm the signing of Podolski but Hamzaoğlu has revealed that the club will sign a striker over the summer transfer window.
The Lions won the Süper Lig title for a record 20th time last season and secured a place in the Champions League group stages for the fourth consecutive time.