The ex-England Under-21 star is not in the plans of Blues boss Frank Lampard.
He is eyeing a move before the Friday domestic transfer deadline, and it appears Wednesday could offer him a route out of Stamford Bridge.
A loan deal is mooted, with Wednesday bottom of the Championship and badly in need of reinforcements.
Derby and Huddersfield also retain an interest in Clarke-Salter.
Need a VPN? Or seeking to switch? Then support Tribal Football by clicking here to sign up with our official partners NordVPN. Not only will you receive the best VPN experience, but also great discounts by signing up via Tribal Football. Thanks for your support!