The Germany star scored just once in 18 games during his recent Serie A loan spell.
"There's bound to be speculation in the coming weeks, but at the moment it looks like I will be going back to London," said the German.
"Things can always change, but if needs be I will remain at Arsenal next season. They are a great club and I think I can help them. I can confirm there has been no interest from Werder Bremen."
Podolski has scored 31 goals in 82 games since signing for the Gunners in 2012.
Though he won the World Cup with Germany last summer, the 30-year-old's domestic season has been a massive disappointment. Podolski was on the fringes at the Emirates in the first few months of the campaign, and then failed to find his form during his loan spell as Inter finished in a disappointing eighth position in Serie A.
But despite these past few months, the former Bayern Munich and Cologne forward is looking at things in a positive light, and was adamant that he had something to offer the game.
"You can take experience from everywhere you play abroad, even if it was not my best year from a sporting perspective," he said.
"But I still have many years ahead of me and a burning desire to play football."