Astra Giurgiu On 28 April 2015, Șumudică was appointed as manager of
Astra Giurgiu, following
Dorinel Munteanu's resignation. It was his third term at the club, after two short spells in 2009 and 2011. He led the team to a 4th-place finish, qualifying them for the
UEFA Europa League. The European campaign was almost a success, as Astra stopped short of reaching the Europa League group stages after knocking out
West Ham United in the third round, but lost to
AZ Alkmaar in the play-offs. Domestically, despite the poor start which saw Astra losing 1–5 to previous runner-ups
ASA Targu Mures, Astra managed to finish the regular season on first place, 3 points above
Dinamo București. However, Șumudică was suspended 6 months by the Romanian FA on charges of betting on football matches. He later managed to have his sentence reduced to 2 months by appeal. Despite his suspension, Astra kept their momentum during the play-offs, ending up in them being crowned
Liga I champions for the first time in their history, also marking Șumudică's first domestic title as manager. After a quick exit to Danish champions
Copenhagen in the
UEFA Champions League, Șumudică managed to guide Astra to
2016–17 UEFA Europa League group stage eliminating West Ham – for the second time in a row – along the way, after a 1–0 win in London. In the group stages, he faced
Roma,
Viktoria Plzeň and
Austria Wien. Despite losing the first two games of the group with Austria Wien (2–3 at Giurgiu) and Roma (0–4 in Italy), Astra managed two 2–1 away wins at Plzeň and Wien (along with a home draw with Viktoria) to stay in the race for a place in the knock-out stages. In the end, Astra's 0–0 draw with Roma and Austria Wien's failure against Plzeň in the last matchday secured Astra's place in the tournament's round of 32. There, they were eliminated by Belgian side
Genk after a 2–2 draw at Giurgiu followed by 0–1 defeat in Belgium. Astra's campaign in the league, meanwhile, was disappointing, with the team finishing 5th and losing the Romanian Cup final to
FC Voluntari. However, due to Astra's position in the league and Voluntari not applying for a European license, the vacant spot was given to Astra, thus qualifying yet again in Europe.
Gaziantep On 14 June 2019, Șumudică was appointed as manager of Turkish club
Gaziantep. In January 2021, following an away defeat in the
Süper Lig against
Sivasspor, the club announced that they had parted ways with the Romanian manager, following a few weeks of tension and public discussion about his contract.
CFR Cluj On 28 August 2021,
CFR Cluj terminated the contract of Șumudică, ending his 3-month stint in charge after a disappointing campaign for Europe.
Al-Shabab On 23 March 2022, Șumudică returned to manage
Al-Shabab until the end of the 2021–22 season.
Al-Raed On 30 June 2022, Șumudică was appointed as manager of
Al-Raed. ==Career statistics==