Benzema comes off contract this summer and has a €200m offer on the table from Al Ittihad.
The veteran's personal trainer Javier Atalaya has fueled talk of a departure with a farewell post: "Thank you Karim.
"Thanks for everything. Thanks for everything you did. Thanks for putting a smile on our faces. Wherever you go you will remain a legend.
"Benzema, you are the best player in history. 14 years in Madrid and I'm with you. And I'll stay with you wherever you go. Thank you legend" or "you arrived as a child and you will leave as a legend."