Flury made her World Cup debut at age twenty in January 2014, and her first podium was a victory on home country snow, in a Super-G at St. Moritz in December 2017. She has competed in two World Championships and the 2018 Winter Olympics.
Flury made her World Cup debut at age twenty in a downhill at Altenmarkt in January 2014, but had only one additional start that season, with over twenty on the European Cup circuit. The next season she had eight World Cup starts but went without a top thirty result, and concurrently raced in European Cup events. A hip injury kept her out of the 2016 season.
- Standings through 14 March 2019