Djourou, 26, joined the Bundesliga outfit on a five-month deal earlier this month.
The deal does not include an option to buy, but the player is open to signing a permanent contract with Hannover should the opportunity arise.
"Arsenal did not want to include a buy option," said Djourou. "But those things don't worry me right now. I have to perform first, to make sure Hannover want to buy me.
"As a team we have the quality to reach the Champions League.
"Everything has to work out great and we all have to stay fit. It is a high goal, but you need to have them in sport."
Djourou, whose current contract with Arsenal is due to expire in June 2015, has been capped 38 times by Switzerland.