The French international has been linked with the likes of Manchester United, Chelsea and Liverpool in recent months.
Reports in France also suggest that Juventus, Bayer Leverkusen and Monaco are keen on the highly-rated youngster
Manchester United are ready to make a big offer for Zouma in January, but Le10Sport reports that Saint-Etienne are determined to keep the youngster at the club.
Zouma signed a new contract with Saint-Etienne in February 2013.
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Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.
Newcastle United are staring down the barrel of relegation to the Championship for the second time in the past eight years.