Goergl's teammate, Nicole Hosp, rounded out the podium with a third place in the run-up to next month's Winter Olympics in Russia.
Goergl covered the course in 1 minute, 24.23 seconds, to claim her sixth career World Cup victory and first top-three finish in the super-G this season.
"I feel very comfortable on my equipment," she said. "I am very happy I can ski the way I want to and that I am healthy."
Germany's Hoefl-Riesch increased her lead in the overall women's World Cup standings with her second-place finish.
"My consistency has been missing a little bit," she said. "With the Olympics getting closer, I hope I will have enough of this consistency and mental strength entering the races there."
Lara Gut of Switzerland held her narrow lead in the season super-G standings despite a disappointing 19th place. Julia Mancuso was the top American finisher with a seventh-place time of 1:25.21.