He started his football career in the Soviet Union, played for FC Shakhtar Donetsk reserves in 1987 debuting for senior squad in 1990.
Having difficult time to make the senior squad, in 1991 Mazur left for FC Kryvbas Kryvyi Rih that played in the Soviet Lower Second League.
Following dissolution of the Soviet Union, he played in the very first championship of Ukraine and as a player of Kryvbas was promoted to the Ukrainian Premier League.
After retirement in early 2000s, Mazur returned to Kryvbas where he was appointed as a senior coach of its youth team.
After Kryvbas went bankrupt, he stayed with the team and in 2015 was appointed as its head coach competing at the Dnipropetrovsk Oblast championship.