The former FC Cologne attacker is showing good form for Germany.
He said: "I don't think I have anything to prove to Arsene Wenger. He has seen me play several times and knows what I can do.
"I think it is clear that my transfer was no accident and, of course, I'm very glad I signed with Arsenal.
"In fact, what has really pleased me is that Arsenal fans can watch me play in a tournament like this and realise what I'm capable of at the highest level.
"Very soon I will also show that in London."