*Club domestic league appearances and goals, correct as of 19:59, 20 December 2024 (UTC). ‡ National team caps and goals, correct as of 3 September 2020
Kutucu began his youth career with Sportreunde Haverkamp in 2003, before moving to the youth team of Rot-Weiss Essen in 2006. In 2011, he joined the youth sector of Schalke 04.[3]
On 12 January 2022, Kutucu agreed to join 2. Bundesliga club SV Sandhausen on loan until the end of the season.[8] On 28 June 2022, his loan was extended for a further year.[9]
Kutucu was included in Turkey's squad for the 2017 FIFA U-17 World Cup in India.[10] He made his debut on 6 October 2017 in the first group match, opening the scoring for Turkey with a header in the 18th minute against New Zealand, with the match finishing as a 1–1 draw.[11] He played in Turkey's remaining two matches, where they were eliminated in the tournament's group stage.[2] The following year, he was included in Turkey's squad for the 2018 UEFA European Under-19 Championship in Finland.[12] He played all three matches for Turkey, with the team being eliminated in the group stage.[2]