Chelsea's position is that they would prefer to sanction another loan switch, but the 21-year-old feels that a permanent move would better serve his ongoing development.
Boga would be happy to join Chelsea's first-team squad for 2018-19, but he is not keen on making what would be his fourth loan switch away from Stamford Bridge.
As a result, Chelsea could opt to replicate the deal which saw Bertrand Traore leave for Lyon in a cut-price £8.8 million ($12m) deal in the summer of 2017.
The transfer of the highly rated Burinka Faso starlet was made possible by the inclusion of a buy-back clause, and a similar agreement with Boga may appease all parties as the Ivory Coast international retains a strong affinity with the Blues.
Boga has been left frustrated by his development in recent years and has most recently spent a season on loan at Birmingham City. He had previously taken in spells with Rennes and Granada.
The youngster has been with Chelsea since he was scouted at an amateur club in Marseille. He has made only one senior appearance for the club to date, in an opening day clash with Burnley in August 2017, but has won a host of honours at youth level.
Chelsea currently have six players out on loan and recently announced deals to send Reece James and Dujon Sterling to Wigan Athletic and Coventry City respectively. The number of loanees is expected to once again grow to over 30 in the coming weeks.