Igor Štimac had nearly four years with the Rams. He was sold on 29 August 1999 to West Ham United for £600,000, where he scored once against Newcastle United.
In all, Štimac made 84 league appearances for the Rams, in addition to seven FA Cup appearances and two League Cup appearances. In 2009 he was voted into a fans' greatest ever Derby County team, by readers of the Derby Evening Telegraph.
Štimac started his managerial career in 2005, when he took over his native club Hajduk Split. In the spring of 2006, he also spent two months coaching Croatian first division side Cibalia. On 14 September 2009 he was appointed as the new NK Zagreb manager. He was sacked on 14 May 2010.
On 5 July 2012, Štimac was appointed the new Croatia national football team manager, after the departure of his former national team teammate Slaven Bilić. His first match as Croatia manager came in a friendly game against Switzerland at Poljud Stadium, which ended in a disappointing 2-4 loss. Despite that loss, Croatia entered the 2014 World Cup Qualifications in decent fashion, taking 16 points from first six games. However, the results were not representative of Croatia's form on the pitch, as the team only had a goal difference of +7 from those six matches and scored the majority of their goals from set pieces, counterattacks, and defensive errors by their opponents. Then started a period of appalling results starting with a loss to 78th-ranked Scotland in inexplicable fashion at Maksimir by a score of 0-1 on 7 June 2013. Following this Croatia lost 0-1 in a friendly match to Portugal on 10 June 2013 and then barely beat 148th ranked Liechtenstein 3-2 in a friendly match thanks to a 86th minute goal by Eduardo on 14 August 2013. In their next world cup qualifying match, Croatia drew 1-1 against rivals Serbia in Belgrade, despite only having one shot on target and two shots overall. This was followed by another loss at home at Maksimir, this time to eventual group winners Belgium with a result of 1-2. With only one world cup qualifying match to go, Štimac had become widely unpopular in Croatia with one poll conducted by popular domestic newspaper 24sata resulting in 98% of voters in favor of sacking Štimac. On 15 October 2013, Croatia lost their final World Cup qualifying match 0-2 against Scotland. After the 0-2 loss to Scotland, Štimac tendered his resignation to HNS president, former star footballer and national team teammate of Štimac, Davor Šuker. The following day, Šuker accepted his resignation. Croatia ending qualifying as the second to last ranked second place team, having only one more point than last placed Denmark, thus taking the final playoff round spot.