Dansk moved to North America as a 13-year old, playing three seasons of junior hockey in the United States with Shattuck-St. Mary's prep school.

[3] The following season in 2013–14, Dansk improved his stats, as his GAA fell to 2.39 and his save percentage increased to 0.909 and the team went to the conference finals in the OHL playoffs.

[7] In his first full professional season, Dansk split time between Columbus' affiliates, the Springfield Falcons and the Kalamazoo Wings in the American Hockey League (AHL) and ECHL respectively.

[4] Dansk returned to the Swedish Hockey League for the second season of his contract, on a one-year loan agreement with Rögle BK on 23 May 2015.

[5] At the conclusion of his entry-level contract with the Blue Jackets, he was not tendered an offer as a restricted free agent on 26 June 2017,[8] having been passed on the depth chart by Anton Forsberg, Joonas Korpisalo, and Elvis Merzļikins.

[5] On 3 July, he signed a one-year, two-way contract with the NHL expansion team, the Vegas Golden Knights.

[10] As the Golden Knights temporary first choice goaltender, he then won his first NHL start making 29 saves on 31 shots in a 4–2 victory over the Chicago Blackhawks on 24 October 2017.

[18] He made his NHL season debut on 21 October in a 6–2 loss to the Philadelphia Flyers, letting in all six goals.

Pausing his North American career, Dansk signed a two-year contract with Russian club, HC Spartak Moscow of the Kontinental Hockey League, on 5 July 2021.

[4] On 13 July 2022, Dansk returned to North America as a free agent and signed a one-year, two-way contract with the Calgary Flames, spending the season playing backup to Dustin Wolf for the Flames AHL affiliate, the Calgary Wranglers.

[1] He was named a part of Sweden's Under-18 junior team for the 2012 IIHF World U18 Championships, which won silver.