She finished second in the K1 team event at the 2015 European Championships in Markkleeberg, Germany. Zwolińska also won the K1 event at the 2015 and 2016 Junior European Championships and the 2016 Junior World Championships. Klaudia earned her best senior world championship result, of 14th, at the 2018 ICF Canoe Slalom World Championships in Rio de Janeiro. She became the first ever polish woman to win a Canoe Slalom World Cup, winning the opening round of the 2021 season.