[4] An Orthodox Christian, he frequently carries religious icons to matches and has spoken openly about the importance faith has to him, which was shown by his grandmother.

[9] After quickly rising through the age groups, Mudryk attracted the interest of Shakhtar Donetsk, and he signed for the club's academy in 2016.

[10] Mudryk was promoted to the first team later that year,[11] He made his first-team debut aged 17 on 31 October 2018 in a Ukrainian Cup match against Olimpik Donetsk, which Shakhtar won 1–0.

He played in the Ukrainian Premier League against Desna Chernihiv, Kolos Kovalivka, and Oleksandriya giving the contribution to win the title in the 2019–20 season.

[16] In the 2021–22 season, Mudryk found more and more space as a starter, especially with the arrival of Roberto De Zerbi at the helm of Shakhtar, who had the reputation of trusting in young players.

With his previous managers, failing to bring the best out of Mudryk, De Zerbi decided to recall him from his loan spell and requested a meeting with him.

[9][17] On 25 August 2021, Mudryk made his UEFA Champions League debut against Monaco, replacing Manor Solomon in the 82nd minute in the play-off round of the tournament.

[23][24] With football resuming in Ukraine, Mudryk started the 2022–23 season by scoring his first Champions League goal and providing two assists in a 4–1 away win over RB Leipzig.

[34] During an EFL Cup match against Newcastle United on 19 December 2023, Mudryk scored an equaliser in stoppage time to help his team to a 1–1 draw, which Chelsea would go on to win on penalties.

[44] On 26 March 2024, he scored the winning goal of a 2–1 victory over Iceland in the qualifying play-off final to send Ukraine through to the official tournament.

Ben Chilwell was cautious in his praise stating, "With Mudryk, I see endless bags of potential that hasn't been fulfilled yet".