[5] After attending their training camp, he was re-assigned to Collège Antoine-Girouard Gaulois in the Ligue de Hockey Midget AAA du Québec but was recalled full time by early November.

At the time of the trade, he had recorded 18 assists for 25 points in 27 games and was named captain of Team QMJHL at the 2018 CIBC Canada-Russia Series.

[13] On June 29, 2019, Joseph was traded by the Coyotes, along with Alex Galchenyuk, to the Pittsburgh Penguins in exchange for Phil Kessel, Dane Birks, and a fourth-round pick in the 2021 NHL entry draft.

[14] He continued to work on his weight during the 2019 off-season and gained 10 pounds before entering his first professional season with the Wilkes-Barre/Scranton Penguins in the American Hockey League (AHL).

[15] In response to his weight, coach Mike Vellucci said: "the organization has ways of measuring a player's actual strength in different areas.

[17] Prior to the pause of the season due to COVID-19, Joseph played on the Penguins' top defensive pairing with Jon Lizotte and averaged well over 20 minutes a game.

"[19] Within his first seven games with the Penguins, he recorded five points including his first career NHL goal against Semyon Varlamov of the New York Islanders.

[22] On May 5, 2023, he was named to Canada men's national ice hockey team at the 2023 IIHF World Championship where he recorded one goal in ten games and won a gold medal.