The Gunners' surprising 3-0 loss to London rivals Crystal Palace on Monday night has left the club sitting seven points adrift of fourth-placed Manchester City.
Despite Arsenal having a game in hand over Pep Guardiola's side and two over third-placed Liverpool, there were renewed calls from some fans for manager Arsene Wenger to step down at the end of the campaign when his current deal expires.
Ozil himself has been locked in contract talks with Arsenal over the past few months, and Standard Sport understands the Germany World Cup winner is seeking parity with the Premier League's highest earners to stay at the club.
The 28-year-old already takes in the highest weekly wage at Arsenal with £140,000, but it is believed the club could offer Ozil a bumper new deal - similar to what has been offered to Alexis Sanchez.
The midfielder has said, however, he will not think about his own contract situation until the summer because he wants to focus on helping the Gunners secure Champions League qualification first.
"At the moment it would be wrong to think about that," Ozil told Sky Sports when asked about his future at Arsenal.
"The team are having a more difficult spell and at this stage I am not important, no other player is important, what is important is the club.
"We've got aims we want to meet this season, there is still lots for us to play for. We still desperately want to qualify for the Champions League for next season as well.
"We will talk in the summer and clear things then but at the moment what is important is Arsenal, not me or any other players."
When then asked about Wenger - who brought him to Arsenal from Real Madrid in a club-record deal in 2013 - Ozil added: "As a player you cannot pick your coach.
"You cannot decide who manages the club, I always said he was the most important factor in me coming here.
"He has been here for 20 years and has given a lot to this club and I think he deserves respect for what he has achieved here."