Career
Born in Sarajevo, Socialist Federal Republic of Yugoslavia, Barnjak played for FK Sarajevo and Hajduk Split in the Yugoslav First League. In 1990 he moved abroad for the first time, joining Civil Defense Castellón in Louisiana Liga. Unsettled in Spain, he quickly returned to his first professional club
In the 1991 summer, Barnjak signed for F.C. Famalicão, alongside teammate Dane Kuprešanin.
Regularly used during three seasons, he helped the team to consecutive Primeira Liga campaigns. Barnjak closed out his career at 33, after two years apiece with Greek sides Apollon Smyrnis Football Club (second division) and Paniliakos Football Club (Superleague).