The France international is due to be out of contract at the Emirates this summer, and talks with the club have failed to reach agreement over an extension.
Manchester City, Manchester United and Chelsea are all reported to be interested in landing the 31-year-old.
Speaking after helping Arsenal lift the FA Cup, their first trophy in nine years, he reiterated that he was yet to agree terms and admits the final win over Hull City could have been his last game for the club seven years after he joined the club from Auxerre.
"Will it be my last game for Arsenal? I don't know," he told The Sun.
"Everyone knows I am out of contract and we have not found an agreement with Arsenal.
"Right now, there is a lot of emotion and I am just very happy for Arsene Wenger and for everyone at this club.
"We have struggled for quite a few years but the manager has always believed in us. All this time he has been heavily criticised so he deserves this victory.
"Personally, I am glad to have finally lifted a trophy. For me, this is a great return to Wembley after losing the League Cup final to Birmingham in 2011.
"There is a lot of relief and a lot of pride, it has been nine years since the team won a title so it was really important to get this trophy at last.
"Every year we have started the season under pressure. Before a ball was even kicked people spoke only about the lack of trophies and it ended up getting into the head of everyone at the club.
"We knew we were expected to end that run and that only increased the pressure.
"Now we have given some pride to our supporters and the players have personal pride.
"But it was a very, very difficult day for us. It was a very poor start and we were caught out on two set-pieces even though we knew that would be Hull's main threat.
"After that we had to run for miles and miles because Hull were in place and we had to break them down. So we made life very difficult for ourselves.
"But with patience we eventually made things happen and we managed to emerge victorious."
Thank you Bernstein, as you say money is the main reason. I've never said that it's the only reason but it's the most important reason.- goonerwinit