Anelka, who remains available for selection by his club, but is currently injured, will contest all the charges.
He faces a minimum five-match ban if the charges are proved.
The independent three-person commission hearing the case includes a barrister, one former player or manager, and an FA council member. Their identities have not been made public.
The FA says it hopes the hearing will last only until the end of the week, but it could take longer.
If Anelka appeals against the decision, a new commission would have to be formed to hear the evidence for a second time.
Anelka has claimed that the gesture was a tribute to his friend, the antisemitic French comedian Dieudonne M'bala.