She won four titles in singles and 24 in doubles at tournaments of the ITF Women's Circuit.

Zarić started her professional career in 1994, and in 1995, she won her first ITF title in Nicosia, Cyprus.

In 1998, she played her first WTA Tour qualifying draws in Maria Lankowitz and Istanbul, but lost.

She kicked off the 2001 season with attempts to qualify on a couple of WTA and all Grand Slam tournaments, but failed to pass the qualifying rounds.

In doubles, the same year, she got to the finals of the Budapest Grand Prix and the quarterfinals at the Wimbledon Championships.