The French midfielder has suffered a ligament tear in his knee, which has put him out for several weeks.
Anzhi are currently top of the Russian Premier League and seeking to progress in the Europa League.
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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.