Mesut Ozil and Angel Di Maria are both wishing for a return to the Bernabeu, according to one report in the Spanish press that came as a surprise.
Club president Jean-Pierre Rivere told the club's official website the gesture was "our way of thanking our fans for travelling all across Europe."
Cisse, 35, has not played a competitive game since featuring for Ligue 1 Bastia in the final match of the 2014-15 season.
A late Frederic Sammaritano equalizer denied Monaco all three points, as they played out a 1-1 draw at Dijon.
Nice head coach Lucien Favre has called for decisiveness in the final third ahead of their clash at Guingamp on Wednesday.
Frederic Sammaritano scored late on as out-of-form Dijon secured an unlikely 1-1 draw against title-hopefuls Monaco.