The former AC Milan and Inter man scored the winning Hearts thump WAFA 2-1 in Accra to skip back to winning courses in the Ghana Premier League.
Muntari's goal came through the penalty spot under a little ways from time.
Kwadwo Obeng Jr gave Hearts the lead a moment after the halftime break yet WAFA leveled through Derrick Mensah who scored a sublime free-kick.
With the game heading for an impasse, President Cup saint Patrick Razak was fouled in the penalty box by WAFA goalkeeper.
Muntari moved forward and scored to hand Hearts their initial three focuses since January 30, 2022, when they thump King Faisal 1-0 at the Accra Sports Stadium.
Hearts have move to sixth and are 12 focuses behind association pioneers Asante Kotoko while WAFA stay in the assignment zone.