Anderson, 34, has been charged with a Grade F offence, which carries a suspension tariff of at least eight matches.
Workington's James Robinson is also set for a lengthy spell on the sidelines, having been charged with a Grade D offence of punching and conduct contrary to the spirit of the game in the same incident.
He could be out for between four and eight matches, while Carcassonne's Tyrone Pay has been charged with a Grade B punching offence.
Despite not making the grand final next week Hull FC head coach Lee Radford was pleased by the manner in which his team came back against Wigan after looking dead and buried at half-time.
Wigan head coach has Shaun Wane praised his players for going toe-to-toe with Hull FC and coming out of the other end to book their place in the Grand Final next week.