He played in the National Hockey League (NHL) for the San Jose Sharks, Tampa Bay Lightning, New Jersey Devils, Minnesota Wild, Calgary Flames and Chicago Blackhawks.

As a youth, Zyuzin played in the 1992 Quebec International Pee-Wee Hockey Tournament with the Druzhba-78 squad, a team from Kharkiv.

[1] He was trained by Ukrainian coach Ivan Pravilov, who was arrested in 2012 for sexual abuse of a teenage student, and committed suicide by hanging in prison.

After playing 32 games for the Blackhawks, Zyuzin left the NHL, signing with St. Petersburg SKA of the Kontinental Hockey League.

Zyuzin returned for the 2016-17 season, once again as an assistant coach for Ufa Salavat Yulayev, finishing sixth in the Eastern Conference with 88 points.