[3] In his first season in North America in 2015–16, Zaar was assigned to the American Hockey League and played a pivotal role in helping the Lake Erie Monsters win their first Calder Cup championship in franchise history.

Limited to 55 games, Zaar was unable to build upon his rookie North American season in collecting 8 goals and 30 points.

As an impending restricted free agent, Zaar opted to continue his career in his native homeland in securing a two-year contract to return to the SHL with the Malmö Redhawks on 7 May 2017.

Unable to help Torpedo qualify for the playoffs for the first time in nine years, Zaar extended his season by returning to original club, Rögle BK, on 15 February 2022.

[8] Two weeks later, Zaar helped his new team win the 2021-22 Champions Hockey League, scoring both goals in the final against Tappara.