The Germany international was unable to net against the Bundesliga outfit, leaving the former Cologne striker with just two goals since moving to the north London club.
“I expect myself to be a key player,” said Podolski.
“I want to convince everyone that I can play a big part. But we’re still at the beginning of the season and we’ve only had 10 or 11 games. I’ve signed for four years and I hope I can have a successful time here.”
The 27-year-old also felt Arsenal were poor going forward against Schalke and Arsène Wenger’s men did not deserve anything from the Champions League tie.
“It was a typical 0-0 game,” added Podolski.
“We missed a chance to win at home and this is our own fault. We’re playing at home and we’re a top team.
“But when you don’t have a single attempt on target at the end of the game, you don’t deserve to win.
“But still in a game like this, you should be doing everything you can to get a point.”
The ex-Bayern Munich striker feels Arsenal missed an opportunity to take a giant step towards qualification for the knockout stages.
“Of course we’re disappointed,” he said. “We’re disappointed because we lost a home game in the Champions League and if we had won, we could have opened up a big gap on the other teams.
“Now it’s going to be a tight group.
“The next game is going to be a difficult one against Schalke and we have to do better.”
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