The Gunners need more signings to do so though, according to the German.
The Gunners have endured another disappointing season this year, which looks set to end as an unsuccessful one.
After a disastrous 2016 so far they have fallen out of the Premier League title race, currently sitting 10 points behind Leicester City, while they are also out of the FA Cup and Champions League.
With all of the traditional big sides struggling this year, anger has grown at the Emirates over what the fans perceive as a huge opportunity missed this year.
Ozil though, says he is confident of success with the club in future, but only if they can add quality to their squad in the transfer window.
"I still have two more years after this season, as I have said in the past, I feel really good,” he told BT Sport.
"I always want to play for the biggest teams in the world, and in the competitions like the Champions League and it is my goal to win many titles, and I know that I can win titles with this team.”
"You can realise your dreams here, and if we get in a few more good players, I think that will happen."
Chief among Arsene Wenger’s thoughts will surely be his defence and his attack; with both areas needing investment.
Centre backs Laurent Koscielny and Gabriel Paulista are questionable, and certainly looked far below the standard needed in Saturday’s draw West Ham.
Elsewhere, a world-class striker should surely be among his main targets as well, as questions marks remain over Olivier Giroud and Theo Walcott.
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