The 29-year-old has been strongly linked with the likes of Juventus, Manchester City, Manchester United and Paris St Germain.
The Dutchman confirmed last week that he will not renew his current contract with the Gunners. The deal expires at the end of next season.
“He has had such a wonderful season and he’s been there eight years. He’s the club captain, he means a lot to the club and to the fans,” Dein said.
“Once a player comes out and says something like that it’s normally the prelude to a departure. But no doubt they will do all they can to try and keep him and make sure he sees out his last year.
“All I would hope, for the stability of the club, is whether he stays or whether he goes, it happens quickly. You don’t want to see what happened last year when you had Samir Nasri and Cesc Fabregas stringing it out.
“Clubs this week are going back for pre-season training. You want to have a settled squad. I hope that whatever happens with Robin, it happens quickly.”
