Austrian Julia Dujmovits won the gold medal in the women's final on the event's Olympic debut but it was Wild's second gold for his adopted country after his giant slalom triumph on Wednesday that brought Extreme Park crowd to its feet.
Wild had looked down and out in the semi-finals but staged a remarkable second run comeback to reach the final, where he edged giant slalom bronze medallist Zan Kosir in a thriller.
Benjamin Karl of Austria took bronze.
The silver and bronze in the women's event went to Germany's Anke Karstens and Amelie Kober, the latter winning the "small" final despite riding with a badly injured arm.
(Reporting by Nick Mulvenney; editing by Peter Rutherford)
