[citation needed] At the end of his first professional season, Jedvaj was targeted and approached by Italian club Roma, although the initial offer was rejected by the Dinamo board.
He made his starting debut for the club against the same opposition in the last round of the Serie A season, with Genoa winning the clash 1–0 at the Stadio Luigi Ferraris.
[9] Jedvaj's debut with the Germans – where he contributed significantly while playing all 90 minutes in the first official match of the season – helped the team to a 6–0 victory against Alemannia Waldalgesheim in the first round of the 2014–15 DFB-Pokal.
[11] Jedvaj also played in the return match against Copenhagen in the Germans' 4–0 victory, allowing Bayer qualification to the Champions League group stage.
Jedvaj played all 90 minutes of the match, even earning a penalty on the half-hour mark of which striker Stefan Kießling converted in an eventual 3–0 victory.
[14] Jedvaj continued his fine form at Leverkusen by scoring a powerful curving goal against Werder Bremen to give his side a 1–0 lead.
[23] Upon return to Leverkusen in summer 2020, Jedvaj was completely sidelined by coach Peter Bosz, playing only in the Europa League.
[29] On 20 December 2022, Jedvaj moved on loan to Al Ain in the United Arab Emirates until 30 June 2023, with an option to buy.
[34] He made his senior debut at age 18, playing the final 13 minutes in a friendly match against Cyprus on 4 September 2014 at Stadion Aldo Drosina in Pula.
[40] On 16 November 2018, he scored two goals in a UEFA Nations League group match against Spain, including the winner in a 3–2 victory.
[41] During Euro 2020 qualifying, Jedvaj played regularly, replacing injured right back Šime Vrsaljko and appearing in five out of eight games.