This is according to Yahoo Sport, who claim the France international would be interested in a move.
And the 31-year-old could ask for a move if Arsene Wenger leaves the club.
Arsenal star Laurent Koscielny has been linked with a move to Marseille
When asked about Marseille, an apparent member of Koscielny’s camp told Yahoo Sport: “Why not?!
"If Marseille can afford to attract Dimitri Payet, they also have the capacity to entice Laurent Koscielny.”
Arsenal line-up predicted to face Crystal Palace
Fri, April 7, 2017
Express Sport predicts who will start for Arsenal in their clash with Crystal Palace at Selhurst Park on Monday (8pm)
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Who will Arsene Wenger pick in his Arsenal starting XI against Crystal Palace?
Koscielny has become an integral part of Wenger’s Arsenal over the past few seasons.
He joined from Lorient in 2010 and has gone on to make 207 appearances for the Gunners.
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The defender has captained the Gunners this term in the absence of Per Mertesacker.