Yıldırım is a youth product of Sarıyer, and began his senior career with them in the TFF Second League in 2018.

[1] He made his professional debut with Hatayspor in a 1–1 Süper Lig tie against Kasımpaşa on 14 August 2021.

[2] After 6-7 February 2023 Kahramanmaraş earthquakes, Süper Lig was suspended for over a week to mourn the victims.

[5] On 23 August 2024, Yıldırım joined La Liga club Getafe on a season-long loan with an option to buy.

[9] On 7 June 2024, he is in the final list of 26 players selected by Vincenzo Montella to compete for UEFA Euro 2024.