Chelsea are well-stocked on the right with Cesar Azpilicueta and Reece James so any move to Stamford Bridge would surely see Boateng deployed centrally.
Frank Lampard is still yet to settle on his preferred partner for Antonio Rudiger, with Kurt Zouma, Andreas Christensen and Fikayo Tomori all rotating alongside the German this season.
Arsenal could sell Shkodran Mustafi this summer while Sokratis Papastathopoulos and David Luiz are yet to fully win over the Gunners faithful, so Boateng would provide some much-needed stability.
Speaking about Boateng on Friday, Flick said: “He still has a year contract, it’s his decision.
“Jerome was a German international and has now shown once again that he can show performance at this high level.