[6] Roslovic joined the Jets' American Hockey League (AHL) affiliate, the Manitoba Moose, for the 2016–17 season.

[7] Roslovic made his NHL debut on April 6 in a 5–4 win over his hometown Columbus Blue Jackets.

[12] On February 2, 2019, he scored his first career hat-trick in a 9–3 win over the Ducks, with all of his goals coming on the power play.

[16] On January 23, 2021, the Jets traded Roslovic, alongside Patrik Laine, to his hometown Columbus Blue Jackets in exchange for Pierre-Luc Dubois and 2022 third-round pick.

On March 8, 2024, the Blue Jackets traded Roslovic to the New York Rangers in exchange for a conditional 2026 fourth-round pick.

[19] Roslovic helped lead Team USA to a gold medal at the 2014 World U-17 Hockey Challenge.