The City striker will therefore face a three match ban, from Sunday February 15. That allows him, if fit, to appear in the fifth round FA Cup tie against United.
However, City will have to get at least a draw at Old Trafford for Anelka to appear in the first derby at the City of Manchester Stadium on Sunday, March 14.
He will miss the league game at Bolton, the visit of Chelsea, and the derby game at COMS, unless City earn a replay or a surprise victory to ensure a quarter-final tie.
The FA had earlier said that they will not take further action against Arsenal's Ashley Cole and Edu, who only received yellow cards in the same incident.