Galuzin made his Kontinental Hockey League debut playing with Torpedo Nizhny Novgorod during the inaugural 2008–09 KHL season.

On 17 December 2019, Galuzin left Metallurg on mutual grounds to join his third KHL club, Ak Bars Kazan, on a two-year deal.

[3] On 4 July 2020, Galuzin continued his career in the KHL by agreeing to a one-year contract with HC Neftekhimik Nizhnekamsk.

As a free agent, Galuzin signed a one-year contract with his fifth KHL club, Amur Khabarovsk, on 11 May 2021.

[5] After splitting the 2021–22 season with Amur and Spartak Moscow, Galuzin signed as a free agent with HC Vityaz on 4 May 2022.