The 36-year-old has already announced he will hang up his gloves in May, having lost his place in the Arsenal team to Bernd Leno, though the Gunners had hoped to convince him to stay on in a coaching role.
However, rather than taking on a coaching role, Chelsea want Cech to be part of a new-look technical staff, fulfilling some of the old tasks of Michael Emenalo.
Director Marina Granovskaia has taken on the majority of Emenalos old duties since he departed the club, but Cech would share some of the burden in terms of recruitment and bridging the gap between the board and the manager.
Roman Abramovich has always respected Cechs opinion on previous Chelsea managers and players and they still enjoy a good relationship.
The west Londoners are keen to bring back some of the players who etched their name into Chelseas history during the most successful era of the clubs history.