Manchester United manager Louis van Gaal has refused to rule out the possibility of signing goalkeeper Victor Valdes.
Manchester City boss Manuel Pellegrini says he is confident that England goalkeeper Joe Hart will sign a new contract.
The 32-year-old was released from his deal with Russian side Kuban Krasnodar and the Corsican club announced he would officially sign pending the successful completion of a medical on New Year's Day.
Cisse began his professional career with Auxerre before moving to Liverpool in 2004. He joined Marseille on loan in 2006 before making a permanent move to the Stade Velodrome the following year.
Since then he has changed clubs at regular intervals, having played for Panathinaikos, Lazio, QPR and Kuban plus Sunderland and Qatari side Al Gharafa on loan since 2008.
Cisse was first capped at senior level by France in May 2002 and played in that summer's unsuccessful World Cup campaign.
He missed the 2006 tournament after suffering a broken leg in a warm-up match but returned to the squad for the 2010 finals in South Africa.