Muzurović's managerial skills led him to various countries with good success, although he did not manage to win many trophies. He managed Sarajevo in three periods, with the first one from 1977 to 1981 in Yugoslav First League, achieving a runner-up place in 1980. After that Muzurović was the manager of Prishtina from 1983 to 1984, managing to drive the small newcomer side to the best position in their history when they finished 8th in the Yugoslav First League in the 1983–84 season. He was once again Prishtina's manager from 1985 to 1986. The next appointment was at Turkish club Adana Demirspor in 1987, staying there for one year. His second appointment as Sarajevo manager came in the 1991–92 season, but it was never finished due to the outbreak of the Bosnian war. After the war, Muzurović was the first head coach of the newly founded Bosnia and Herzegovina national football team, managing to clinch a historical victory against Denmark in a 3–0 thriller in Sarajevo. Failing to qualify for the 1998 FIFA World Cup, he was replaced with Džemaludin Mušović in 1998. He then had a two-month spell as Adanaspor manager in the 1998–99 season, from where he went to Qatar's Al Arabiin 1999. The third and final appointment as Sarajevo's manager came in the 2001–02 season, managing to win his first and only managerial career, the Bosnian Cup. Muzurović was then manager of Egyptian Premier League club Al Masry in July 2002, leaving the club shortly after in December of that year. On 1 February 2004, the Japanese J1 League club Cerezo Osaka board appointed him as their manager, but was sacked after leading the club in only two games, the second fastest sacking of a manager in J1 League history. On 21 December 2006, Muzurović became the new head coach of the Bosnia and Herzegovinanational team for a second time in his career, nearly three years after getting sacked at Cerezo Osaka. One of the most memorable wins of Bosnia and Herzegovina came during Muzurović's coaching, particularly a 3–2 home win against Turkey in the UEFA Euro 2008 qualifiers on 2 June 2007, a game which also saw the international debut of Edin Džeko. He stayed as head coach until 17 December 2007.
