Following the 2018 NHL Entry Draft, where he was selected eight overall, Boqvist signed a three-year, entry-level contract with the Chicago Blackhawks. On 5 July 2018, the London Knights of the Ontario Hockey League (OHL) announced that Boqvist would join the team for the 2018–19 season. Boqvist scored his first NHL career goal in a 3–2 win over the Anaheim Ducks on 3 November 2019.