The preceding five players were John Tavares, Aaron Ekblad, Connor McDavid, Sean Day and Joe Veleno.

On September 20, 2019, Wright made his Ontario Hockey League (OHL) debut at the age of 15, as he was held to no points in a 4–1 loss to the Oshawa Generals.

On October 4, Wright had his first multi-point game in his OHL career, scoring a goal and adding an assist in an 8–4 loss to the Niagara IceDogs.

Wright recorded his first multi-goal game on October 11, as he scored twice, including the overtime-winning goal, in a 4–3 victory over the Niagara IceDogs.

On February 29, 2020, Wright recorded his first OHL hat trick, as he scored three goals and added an assist for a career-high four points in a 6–1 win over the Flint Firebirds.

[8] After spending the fall of 2022 playing variously in the NHL, the AHL, and the 2023 World Junior Championships, Wright was sent back to the OHL by the Kraken management for the second half of the 2022–23 season.

"[12] Wright played 20 games in the regular season, notching 15 goals and 22 assists, while the Spitfires finished first in the Western Conference and entered their first round playoff series against the Kitchener Rangers as the top seed.

"[15] As the draft approached, debate largely focused on the merits of Wright versus Slovak winger Juraj Slafkovský of Liiga's TPS.

[16][17][18] The first overall pick was won by the Montreal Canadiens, whose general manager, Kent Hughes, confirmed days before the draft that the choice was between Wright, Slafkovský, and Logan Cooley of the USA Hockey National Team Development Program (USNTDP).

[25] As October concluded, head coach Dave Hakstol's usage of Wright became a major source of debate in the media and among fans, as he was frequently scratched and being played for less than seven minutes per game on average when allowed into the lineup.

[30] He participated in the Firebirds' deep run to the finals of the 2023 Calder Cup playoffs, where they lost to the Hershey Bears in seven games.

[9] He was widely praised for his performance in the gold medal game against Czech junior team, which occurred on his birthday.