Anatolii Ivanovich Brezvin was born on 8 January 1956, in Holoby, Volyn Oblast,[1][2][3] and grew up in a working class family.

[1] He worked at a fruit canning facility in Golobsky from 1973 to 1974, operated by the government procurement department of the Volyn Oblast.

Late in 1974, he worked two months at a sugar beet processing facility in Volodymyr-Volynsky operated by the Ministry of Food Industry of the Ukrainian Soviet Socialist Republic.

[1] When Brezvin was appointed chairman of the Ukrgasbank board of directors in June 2010, the decision was criticized as contrary to the law of Ukraine which required this position be filled by a person with three years of experience operating a bank.

[4][5] Kommersant reported that stock market investors called Brezvin a "creature" of Ukrainian prime minister Mykola Azarov.

[5] Upon becoming chairman, Brezvin claimed that Ukrgasbank would grow faster than the market, and planned to expand clientele by offering payroll and other services.

[2] He was elected to the Kyiv City Council in 1998, where he served as deputy chairman of the standing committee for the budget and socio-economic development.

[1] During his tenure, the FHU established partnerships to provide equipment to schools and youth hockey programs to make playing more affordable, but noted a lack of ice rinks for games.

[8] Despite the Russo-Ukrainian War that began in 2014, Brezvin urged the federal government to follow the example of private investors into hockey.

[10] In Brezvin's first year as president, the Ukraine men's national team placed 16th at the 2007 World Championship, and was relegated to Division I.

[15] He was subsequently named honorary president of the FHU,[7] and credited by the IIHF for "[playing] a role in ensuring the safety of more than 2,500 players" during the Russian invasion of Ukraine in 2022.

[17] In 2024, Channel 24 News reported that Brezvin wanted to return pro-Russian persons to senior positions within the FHU, and that he "unreasonably disrupted" the general meeting.

[18] Channel 24 News opined that "Brezvin did not work for the benefit of Ukrainian sports", which included his appointment of pro-Russian persons as vice-presidents of the FHU in 2008.

[1] In recognition of developing international ice hockey, Brezvin received the Paul Loicq Award from the IIHF in 2024.