He spent three seasons with the Islanders' American Hockey League affiliate the Bridgeport Sound Tigers, as well as spells in the ECHL for the Florida Everblades and Missouri Mavericks, before signing a one-year, two-way contract with the Colorado Avalanche on July 26, 2017.

[3] After five professional seasons in North American, Graham opted to pursue a European career, moving to the Tipsport Liga in Slovakia to join HK Nitra on October 26, 2019.

[5] Graham spent the duration of the 2021–22 season with Augsburger Panther of the Deutsche Eishockey Liga (DEL), contributing with 3 goals and 39 assists for 42 points in 52 games, leading the blueline in scoring.

[6] As a free agent, Graham moved to the KHL, in agreeing to a one-year contract for the 2022–23 season with Kazakh based club, Barys Nur-Sultan, on July 20, 2022.

On May 11, 2023, Graham opted to continue his tenure in the KHL, however moved to Russian club, HC Sochi, after securing a two-year contract as a free agent.