Upon leaving Kristianstad in 1994, Kosovac became coach for Swedish club IFK Trelleborg. He stayed there until 1997 when he moved to Swedish top-flight club IFK Ystad, which he coached for a single season. In 1999 he joined H43 Lund, helping them achieve promotion to the top division in 1999–2000. He left H43 for Spanish club BM Aragón in 2005. He coached the team to the EHF Cup final in 2006–07. He moved to Danish club Skjern Håndbold in 2009, but his contract was terminated in December 2011. He returned to H43 in 2012 and coached them for a single season, again leading them to promotion to the top division. Since 2013 he has been assistant coach and goalkeeper coach for the Qatar national team. He helped them reach the 2015 World Championship final as hosts.