Dudić started his managerial career at GOŠK Gabela in 2017, managing the club until 2018. He became manager of Velež Mostar in 2019, achieving success with them by qualifying the club to the 2021–22 UEFA Europa Conference League, their first European competition after 33 years. Dudić won the Bosnian Cup with Velež in 2022. Following his success with Velež, Dudić left the club to become manager of Sarajevo in June, where he worked until October 2022. He was appointed manager of Serbian side Radnički 1923 in 2023.
In the summer of 2011, Dudić moved back to Bosnia, signing with newly promoted team GOŠK Gabela, but in the following winter break, newly promoted Serbian SuperLiga side Novi Pazar decided to reinforce their team with players from the Bosnian Premier League, bringing him alongside Admir Raščić.
In the 2018–19 season, GOŠK started off well under the guidance of Dudić, but after a series of poor results, which culminated with a 0–0 draw against Čelik Zenica, on 26 September 2018, Dudić resigned from the position of manager of GOŠK, after almost a year of him being the manager.[7]
Velež Mostar
2019–20 season
On 5 August 2019, Dudić became the new manager of Velež Mostar.[8] In his first match as the club's manager, Velež tied 0–0 against Sloboda Tuzla away on 10 August 2019, winning their first point in the 2019–20 league season.[9] His first win with Velež came on 17 August 2019, in a 1–0 home league win against Široki Brijeg.[10] Dudić's first loss as Velež manager was a 2–1 away league loss against Sarajevo on 24 August 2019.[11]
In his first ever Mostar derby, Dudić's Velež beat fierce city rivals Zrinjski Mostar 1–0 at home in a league match on 19 October 2019, marking that Velež's first Mostar derby win in over 5 years.[12] He was also praised by Velež fans for his team's 0–2 away league win against Željezničar on 7 December 2019.[13] Dudić's next big result came on 8 March 2020, when Velež beat Borac Banja Luka 2–1 at home in another league match.[14]
2020–21 season
In the first game of the 2020–21 season on 1 August 2020, Velež handled a tough 3–0 loss against Željezničar,[15] but in the second game, on 8 August, Dudić's team managed to beat city rivals Zrinjski for a second time in a row.[16]
On 31 October 2020, Velež got defeated by Zrinjski in the Mostar derby, with Dudić taking the blame.[17]
On 28 December 2020, he extended his contract with the club until June 2023.[18]
Velež started off the domestic league season well, beating newly promoted side Posušje on 19 July 2021.[25] After beating Posušje, Dudić's team went into a short, three-game winless run, but ended it with a win against Široki Brijeg on 22 August 2021.[26] Two months later, following a new string of poor results, Dudić resigned as Velež's manager after a disappointing league loss against Radnik Bijeljina on 31 October.[27] However, the next day, the club's board rejected this and he stayed as manager.[28]
On 19 May 2022, Dudić led Velež to win the first Bosnian Cup title in their history, after a penalty shoot-out, following a 0–0 draw against Sarajevo in the final.[29]
Sarajevo
On 2 June 2022, Dudić signed a two-year contract with Sarajevo, with an option to stay at the club until at least 2025.[30] In his first game in charge, Sarajevo defeated Borac Banja Luka on 24 July 2022.[31]
After winning two more league games against Sloga Doboj and Posušje, on 10 August 2022, Dudić's side lost 5–1 to Tuzla City.[32] It was Sarajevo's biggest ever Bosnian Premier League defeat in history.[33] On 26 August, Sarajevo drew against Željezničar in Dudić's first Sarajevo derby as a manager.[34]
On 19 October 2022, following a series of poor results, which culminated with a first round cup elimination by Čelik Zenica, Dudić resigned as manager, only four months after taking up the position.[35]