The Denmark international's form has come under scrutiny this campaign but he still amassed 15 goals in all competitions.
Gunners boss Arsene Wenger recently announced his intention to hand Bendtner a new deal, and the 21-year-old would be eager to sign fresh terms.
He told Ekstra Bladet: "It is of course a priority of mine to prolong my contract, and I have never said anything else.
"For me it is of course sweet to receive the backing from the manager, and I hope to stay at the club for a long time."
Bendtner joined Arsenal from FC Copenhagen in 2004 and his current contract at Emirates Stadium expires in 2012.