On 25 May 2020, Normann Hansen signed for Stabæk Fotball on a contract until the 2022 season, from Southampton Academy, where he had spent three years.[1] He soon made his mark by scoring both goals in the 2–0 win against Strømsgodset, as well as the winning goal in the 2–1 match against Kristiansund.[2]
On 10 January 2023, he moved to the Netherlands to join Eerste Divisie club Almere City on a two-and-a-half-year deal.[3]