During the Olympics, Aicher, who represents Germany, won silver in both the downhill and the team competition.
On Friday, she was close to a new podium finish, but came fourth in the downhill by just under three-tenths of a second.
Saturday's Super-G, however, served as quick revenge. Aicher took a clear victory - just over nine-tenths of a second ahead of New Zealand's Alice Robinson.
The victory means Aicher moves past American star Lindsey Vonn to third place in the overall Super-G cup. Vonn crashed and seriously injured one of her legs in the Olympic downhill race.
The leader of the Super-G cup is Italy's Sofia Goggia, 96 points ahead of Aicher. Second is Alice Robinson.
