Marty "Buster" Zoborosky was born in Moose Jaw, Saskatchewan. A defenseman for the Moose Jaw Canucks of the S-SJHL that took part in the 1935 Memorial Cup, Zoborosky's NHL career lasted all of one game.
The 1935-36 season saw Zoborosky share his time with the Canucks and the Moose Jaw Hardware of the S-SSHL. In 1936-37, he was a member of the Prince Albert Mintos of the N-SSHL, before heading to the Swift Current Indians of the SIHA for the next four seasons.
After two appearances in the Allan Cup, once with the Kimberley Dynamiters of the ABCHL in 1942 and again in 1943 with the PCHL's Vancouver RCAF squad, Zoborosky joined the Vancouver St. Regis of the NNDHL for the 1943-44 season before making his NHL debut in 1944-45.
The 1944-45 season saw him play in only two games the entire season. Zoborosky suited up for one game with the Providence Reds of the AHL and one game with the Chicago Black Hawks, where he did not record a point but did incur a minor penalty.