She plays in the Swedish Women's Hockey League (SDHL) with Linköping HC.

At that time, she secured a scholarship to and began attending The Gunnery, a private boarding school in Washington, Connecticut, United States known for its strong athletics programs.

In 2018, Pátková relocated to the Hockey Training Institute (HTI) in Mulmur, Ontario, Canada, to play with the HTI Stars, an independent women's under-20 ice hockey team.

[3] Her first tournament with the senior national team was the 2021 IIHF Women's World Championship in Calgary, and her first international goal was scored in the Czech Republic’s opening match against Denmark.

[4] She again represented the Czech Republic at the IIHF World Women's Championship in 2022 and 2023, winning consecutive bronze medals.