Nartey was born in Bagsværd, Gladsaxe Municipality, a suburb to Copenhagen, and was raised in Værebroparken [da], a public housing project.

[2] He began playing football at a young age, often alongside his friends and his older brother, fellow professional player Nikolas Nartey.

[2][4] Notably, he made a mark for the under-17 team, contributing a goal in the cup final (alongside Roony Bardghji), although they were defeated by Nordsjælland's U17s after penalties in 2021.

[8] Prior to the 2023–24 season, Nartey joined Brøndby's first team in pre-season training camp alongside Ludwig Vraa-Jensen and Clement Bischoff.

[10] On 25 February 2024, he made his professional debut in the Danish Superliga, replacing Daniel Wass in the 85th minute of a 3–0 away win over OB.