Bischoff started playing football for Amager-based clubs Sundby Boldklub, AC Academy, and Fremad Amager before joining Brøndby's academy in January 2022. He signed a two-year contract and became part of the under-17 team.[3] After impressing early on, he extended his contract until 2024 in May 2022.[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.[7] On 9 November 2023, he extended his contract with the club until 2026.[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.[9][10]
International career
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.[11] In the subsequent match on 10 September, he earned his first start and scored his debut goal for Denmark, despite their 2–1 loss to Norway U19.[12]