Barić started his coaching career in 1969 at West German club Germania Wiesbaden and moved after one season to Austrian club Wacker Innsbruck, where he spent next two seasons and won two consecutive league champions titles before moving to LASK Linz in July 1972. After two seasons with Linz, he went on to coach Croatian club NK Zagreb and spent two seasons there before moving to Dinamo Vinkovci in July 1976. In the late 1970s, he was also the head coach of the Yugoslav amateur national team, a team that consisted of players from the Yugoslav Second League, and won two regional and one continental title with the team between 1976 and 1978. At the same time, he spent almost four seasons at Dinamo Vinkovci (Cibalia) before returning to Austria in March 1980 to coach Sturm Graz. He spent one and a half season with Sturm and was then unemployed for a year before starting to coach Rapid Wien in July 1982. He led Rapid to three champions titles in the Austrian Bundesliga in 1982, 1983 and 1987 as well as to three Austrian Cup titles in 1983, 1984 and 1985. In 1985, he also led Rapid to the final match of the UEFA Cup Winners' Cup, but lost the title with a 3–1 defeat against Everton.

Barić left Rapid for German club VfB Stuttgart in the summer of 1985 and coached the team until March 1986. After three months without a job, he returned to Rapid in June 1986 and went on to coach the team in the following two seasons, winning another Austrian Cup title in 1987. After leaving Rapid in June 1988, he was unemployed for five months before eventually continuing to work as the head coach of Sturm Graz between November 1988 and June 1989.

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