[19] He experienced a three game pointless streak[20] before recording his second WHL hat-trick to lead the Hitmen to a win over the Tri-City Americans and place them 11 points back of the Edmonton Oil Kings.

[21] As the season began to draw to a close, head coach Mike Williamson created a new top-line consisting of Rask, Brooks Macek, and Jake Virtanen.

[22] As the Hitmen qualified for the 2013 WHL playoffs, Rask posted six goals and 10 assists through 17 games as the team fell to the Oil Kings in the Eastern Conference Final.

[25] Although Rask began the season with 10 points in 10 games,[26] he experienced a 24-game goal drought that was snapped in a 5–2 win over the Oklahoma City Barons on 10 January.

[33] On this line, Rask tallied his first career NHL goal on 2 November against the Los Angeles Kings to lead the Hurricanes to their second consecutive win of the season.

[36] He spent another two games as a healthy scratch before re-joining the lineup as a center for Nathan Gerbe and Lindholm while former linemate Skinner played with Riley Nash and Alexander Semin.

[38] Rask continued to gain momentum as the season reached a close and became the sixth rookie in Hurricanes history to hit the 30-point milestone with 11 goals and 22 assists through 78 games.

[39] Rask returned to the Hurricanes lineup for the 2015–16 NHL season and reclaimed his centre position between former linemate Jeff Skinner and Chris Terry.

[41] He continued to produce offensively as the Hurricanes began their playoff push and recorded the first multigoal game of his career on 27 March to also reach the 20 goal milestone for the first time.

[44] However, Rask stated that he was healthy to begin the 2016–17 season[45] and was named an alternate captain for the Hurricanes alongside Jordan Staal, Justin Faulk, and Jeff Skinner.

Following the Hurricanes regular-season ending, Rask stated that he put too much pressure on himself during the year and needed to hold on to the puck longer and make more plays.

[50] Rask tallied 14 goals and 17 assists to finish his fourth full professional season before being sidelined for the remainder of the 2017–18 campaign due to a shoulder injury.

[62] Upon joining the lineup, Rask tallied an assist in their home opener loss to the Pittsburgh Penguins and scored his first goal of the season two days later.

[64] As injuries fell upon the team in mid-December, Rask began successfully centering their fourth line with Hartman and Marcus Foligno.

[67] On 21 March 2022, Rask was traded by the Wild to the Seattle Kraken for future considerations and was immediately re-assigned to their AHL affiliate, the Charlotte Checkers.

[70] In his Kraken debut, Rask won one face-off and had a minus-one rating in 14:31 minutes of ice time in a 4–2 loss to the Los Angeles Kings.

[71] As the season progressed, his linemates changed and Rask played left wing on the Kraken's third line with Alexander Wennberg and Joonas Donskoi.

[74] On 21 April, Rask played in his 500th NHL game as the Kraken maintained the franchise's first three-game winning streak with a victory over the Colorado Avalanche.

Unable to garner interest from the NHL, Rask returned to Europe after securing a one-year contract with Swiss club, HC Fribourg-Gottéron of the National League (NL) on 15 October 2022.

[78] His older sister, Fanny Rask, played ice hockey professionally for 13 years in the SDHL, scoring over 300 points, and appeared in two Olympic Games for the Swedish national team.