Zubarev was drafted 187th overall in the 2005 NHL Entry Draft by the Atlanta Thrashers. Unsigned from the Thrashers, Zubarev played in the Russian Super League with Ak Bars Kazan and Salavat Yulaev Ufa. He joined Atlant Moscow Oblast for the inaugural season of the KHL.
On August 24, 2010 he signed a two-year, $625,000 contract with the Atlanta Thrashers. He then returned to the KHL.
After playing five seasons for powerhouse club, SKA Saint Petersburg, Zubarev left as a free agent to continue his career on a two-year contract with Spartak Moscow on 29 May 2020.

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