The 27-year-old scored twice in a pre-season friendly against former club Cologne on Sunday.
"I have felt like a part of Arsenal from the first day and I am very proud to play here and wear the shirt," Podolski told Arsenal Player.
"I enjoyed it a lot. Before the game a lot of the players were surprised about the city and about the stadium.
"It was a great match and in my first game I scored two goals, so it was very good. It was a good test for us and I hope we can win against Sunderland next week.
"It was not so easy [to score against Cologne]. I played a lot of games for a lot of years in Cologne.
"They were my club when I was a young boy, so it is not easy to score two goals against your team.
"You see after the game that [the fans] still love me! I was very surprised about the Arsenal fans because there were a lot in the stadium. I heard them cry my name and I was very surprised!"