[4][5] Prior to the 2023–24 season, Bischoff joined Brøndby's first team in pre-season training camp alongside Ludwig Vraa-Jensen and Noah Nartey.

[6] On 27 September 2023, Bischoff made his professional debut, replacing Marko Divković at left-back in the 68th minute of a 3–0 Danish Cup win over HIK.

[8] His Danish Superliga debut followed after the winter break, coming off the bench in the 85th minute for Sebastian Sebulonsen in a 3–0 away victory against OB on 25 February 2024.

[11] Four days later, he made his European debut, starting against Kosovan club Llapi in a 6–0 victory at home in the UEFA Conference League second qualifying round.

[13] Bischoff made his Denmark U19 debut on 7 September 2023, coming on as a substitute for Noah Sahsah in a 3–1 friendly win over Poland U19.