Razvozov was born in Birobidzhan in the Jewish Autonomous Oblast of the Soviet Union, and began training in judo at age 6. His family emigrated to Israel when he was 11, and he joined the Israeli judo team. At the age of 16 he became Israeli champion. In the 2003 World Championships he finished seventh, and went onto finish second at European Championships the following year, as well as representing Israel at the 2004 Olympic Games.
Razvozov later entered politics, becoming a member of Netanya City Council, as well as becoming a member of the Israel Olympics Committee. He joined Yesh Atid, and was placed eighth on its list for the 2013 Knesset elections.
Razvozov holds a bachelor's degree in Business Administration from IDC Herzliya, and is married with one child.