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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The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.
Five English clubs will compete in the last sixteen of the Champions League for the first time ever as Liverpool, Manchester United, Manchester City, Chelsea and Tottenham face some difficult away matches.