Zildžović started his career in 1986 with his hometown club Jedinstvo Brčko and later had foreign spells with Steklar, Celje and Korotan Prevalje in Slovenia.
In his managerial career, Zildžović has managed Krško, Krka, Bela Krajina, Drava Ptuj, Al-Taawoun FC U23, Bylis Ballsh, Radomlje, Mladost Doboj Kakanj, Zvijezda 09, and Rudar Velenje.
On 17 August 2018, Zildžović became the new manager of Premier League of Bosnia and Herzegovina club Mladost Doboj Kakanj.
[1] On 8 April 2019, after making a series of five matches without a win in the league, which culminated with a 2–0 home loss against Tuzla City two days before, Zildžović decided to leave Mladost.
[2][3] On 9 October 2019, he was named new manager of Bosnian Premier League team Zvijezda 09.