Šuker served as the president of the Croatian Basketball Federation for two terms, from 2002 to 2004 and from 2015 to 2016, when he was replaced by the famous Croatian basketball player Stojko Vranković.
2000–2013, President of Velika Gorica Town Board of the Croatian Democratic Union (HDZ)
2000, at the 5th General Convention of the Croatian Democratic Union (HDZ), elected as a member of the Party Presidency
2000, in the January elections, elected as a member of the Croatian Parliament, member of the Finance and Central Budget Committee, member of the Local and Regional Self-government Committee
1997–2000, Zagreb County Deputy Ruler
1993–1997, External member of the Zagreb City Government
Šuker spoke English fluently. His favorite hobby was basketball, and for several years he served as chairman of Croatian Basketball Association. Šuker and famous football player Davor Šuker were paternal cousins.
Ivan Šuker died in Zagreb on 5 September 2023, at the age of 65.[2]