The Hungarian midfielder was given his marching orders in Hannover's 2-1 win over Schalke a week ago and subsequently handed a three-game ban.
His club refused to accept the sanction and requested a personal hearing, which has resulted in a one-game reduction to the suspension.
"After viewing the evidence and hearing the remarks of opposition player Tim Hoogland, it has not been demonstrated that Szabolcs Huszti struck this player in the face," said DFB disciplinary committee judge Hans E. Lorenz.
"With this in mind, it seemed understandable to reduce the ban by a game."
Huszti has already missed the weekend's 4-1 win over Mainz, but will now be available for the clash with Augsburg after missing the trip to Bayern Munich in a fortnight's time.