[1] Peslarová developed in the minor ice hockey department of HC RT Torax Poruba in her home city of Ostrava, in the eastern Czech Republic.

As her 18th birthday approached and she would no longer be eligible to play in Czech men's junior leagues, Peslarová looked abroad to further her development.

Another relocation preceded the 2015–16 season, with Peslarová settling in Stockholm to join SDE Hockey of the Riksserien (renamed SDHL in 2016), as the team's starting goaltender.

During the season, she became the first woman to post a shutout in a Czech men's league, denying all thirteen shots on goal during a match against HK Nový Jičín.

After one season in the Czech Republic, Peslarová returned to Sweden to sign with her second SDHL club, MoDo Hockey in Örnsköldsvik.