Born in Perth in 1964, Robert Zabica played in local competitions before joining Stirling Macedonia as a goalkeeper. In 1988 he was signed by Adelaide City in the national league. Zabica was a member of the team that won the 1991-92 and 1993-94 titles, as well as winning the 1991-92 National Cup. Named national league Goalkeeper of the Year in 1991-92, Zabica played a total of 195 matches for Adelaide City in the national league.
His goalkeeping skills earned Zabica selection for the Australian team against Moscow Torpedo in 1990. He played his first Socceroo A international in August that year against Indonesia in the Merlion Cup final in Jakarta. In 1994 he joined Australia’s World Cup campaign, playing in the epic encounter against Argentina in Buenos Aires. His last match was against Japan at Hiroshima in May 1994. Zabica was goalkeeper for Australia against the likes of Russia, New Zealand, England, Sweden, Argentina, Canada and Japan. He made a total of 42 appearances for Australia, including 27 A internationals.