Rijeka Pandur made his professional debut for
Rijeka in October 2019 in a
cup tie against Buje. He then made his
league debut on 14 December 2019, playing the full 90 minutes of a 3–1 victory over
Varaždin.
Hellas Verona On 31 August 2020, Pandur signed with Italian
Serie A club
Hellas Verona a five-year contract. He made his debut on 28 October in a
Coppa Italia tie with
Venezia that ended 3–3 after extra time, with Verona progressing thanks to Pandur saving two
penalties in the
shoot-out. He made his
league debut on 9 May 2021 in a 1–1 draw with
Torino.
Fortuna Sittard On 7 July 2022, Pandur agreed to a one-season loan with option to buy at
Eredivisie club
Fortuna Sittard. He made his debut on 27 August, taking over the starting job from
Yanick van Osch in a 2–1 league loss to
SC Heerenveen. He remained a starter throughout the
season for Fortuna. On 28 April 2023, the club exercised their purchase option and signed Pandur to a four-year contract, starting from 1 July.
Hull City On 20 January 2024, Pandur signed a three-and-a-half-year deal with
EFL Championship side
Hull City for an undisclosed fee, rumoured to be around €2,000,000. After nearly eight months at the club, on 10 August, he made his debut in the opening game of the
2024–25 season, a 1–1 home draw with
Bristol City. Pandur became the Tigers' starting goalkeeper for the remainder of the campaign, with his performances often garnering praise. In particular, in a match against
Coventry City on 14 April 2025, he was cited as the sole reason Hull earned a 1–1 draw amidst their fight for league survival. He won the Player of the Match award as a result of his efforts. Ultimately, the team survived relegation on the final day, and Pandur received further acclaim for his role in the achievement. On 6 May, the club announced that the Croatian had won the Player of the Year award, Players' Player of the Year award, and Supporters' Player of the Year award for the
2024–25 season. That summer, several clubs expressed an interest in buying Pandur. Links to
West Ham United were initially thought to be true, however they were eventually reported to be "wide of the mark". Elsewhere,
Middlesbrough expressed a genuine desire to sign the 25-year-old, but they were unwilling to meet Hull's asking price of £5,000,000. A transfer to
Leicester City was also briefly discussed, as was a move to German side
Werder Bremen, whilst a return to
northeastern Italy with
Parma was considered less likely. In the end, Pandur remained in
East Yorkshire for the upcoming
2025–26 season, later stating that he had always planned to stay with Hull, regardless of any interest from other clubs. The return of football saw Pandur struggle amid the news of his possible departure. Although overall results were good, Hull's leaky defence had conceded 16 goals in their first nine games of the campaign, with a home match on 30 September against
Preston North End proving to be a personal nadir for the Croatian. The visitors scored twice in the opening 10 minutes, with Pandur at fault for the second goal. Having saved an effort from
Lewis Gibson, he cleared the ball straight to
Ben Whiteman, who set up
Michael Smith to score into a scarcely defended net. Despite his poor performances up to that point, Pandur returned to his expected standard on 4 October, saving a late penalty from
Harrison Burrows to secure an important 1–0 home win over
Sheffield United. == International career ==