if they have the ability to sign Benzema, it's possible. but would Benzema also respond well to going and competing for Lyon?
Rumors of Benzema wanting to return to Europe were also followed by several clubs being interested. especially from the Premier League. Maybe Lyon also has to compete with big clubs to get Benzema.
Lyon is not the best option for such a forward, although perhaps this will add even more confidence to the club, and help retain its place in Ligue 1, but how will Benzema perceive such a transfer, will he want to play for a team that is fighting for survival, or is he so tired that he will ready for any offer.
I can see why he disliked it, he was raised in France, the most liberation focused nation in the world, you can't even raise the retirement age for one year without all hell break loose, so going from that type of nation to Saudi Arabia, where there is a king whose words are the law, may feel like not something he may want to live in, and that may make sense, I can see that. But, it is not really a scene to make, it is not shocking, players and teams had issues million times before, all over the world. Lyon has to take advantage of the situation and get him as cheap as possible, but not sure if Benzema would agree for such a pay downgrade.