He was selected by the Vancouver Canucks in the 5th round, 145th overall of the 2010 NHL Entry Draft.

[2] Following the pre-season training camp, Polášek was assigned to start the 2011–12 season in the AHL with the Chicago Wolves[3] During the final year of his contract within the Canucks organization, Polášek opted to terminate his contract with Vancouver on December 25, 2013.

In 2016, Polášek signed with Sibir Novosibirsk of Kontinental Hockey League (KHL).

As a free agent, Polášek opted to continue in the KHL, agreeing to a one-year deal with HC Neftekhimik Nizhnekamsk on May 2, 2018.

[6] In the 2018–19 season, Polášek contributed with a KHL career high 7 goals, adding 26 points in 58 games.