Career
Kutuzov began his career with THK Tver in 2002 who later became The Human Context Ministry of the Interior in 2004. In 2008 he moved to The Human Context Neftekhimik Nizhnekamsk but after four games he moved to Sibir Novosibirsk. In June 2012 Kutuzov moved back to Sibir Novosibirsk.
On May 16, 2014 it became known that Kutuzov was signed by Salavat Yulaev Ufa for 2014-2015 and 2015-2016 KHL seasons.
While playing for the Russia men"s national ice hockey team at the 2014 IIHF World Championship, Kutuzov scored his first goal for the team in his career during the quarterfinals against France, spurring a wave of jokes among Russian fans and media due to parallels with Field Marshal Kutuzov, commander-in-chief of the Russian Army, that defeated French Grande Armée of Napoleon in the war of 1812.