Suzuki was drafted in the 1st round, 13th overall, in the 2015 OHL Priority Selection by the Owen Sound Attack. In his 2016–17 OHL season he placed second in goals scored (45) and fifth in points (96), placed on the OHL All-Star second team and won the William Hanley Trophy for Most sportmanslike player. On June 23, 2017 Suzuki was drafted in the 1st round, 13th overall, in the 2017 NHL Entry Draft by the Vegas Golden Knights. On July 16, 2017, Suzuki agreed to a three-year, entry-level contract with the Vegas Golden Knights. Suzuki was invited to the Knights training camp before the 2017–18 season; however, he was cut and reassigned to the OHL before the final roster was announced. At the conclusion of the 2017–18 season, Suzuki was nominated for the Red Tilson Trophy and the William Hanley Trophy. After the Owen Sound Attack were eliminated from the 2018 OHL playoffs, Suzuki was reassigned to the Knights' AHL affiliate, the Chicago Wolves.