Strome stayed with the Coyotes organization for parts of four seasons. On November 25th of 2018 he was traded, along with Brendan Perlini, to the Chicago Blackhawks in exchange for
Nick Schmaltz. Strome had an instant impact in Chicago, producing 51 points (17 goals & 34 assists) in 58 games. It took four years since he was drafted, but Strome had found his stride for the first time at the NHL level.