Before moving to Hvidovre IF, Carlsen played youth football in B.93 and Brøndby IF.
[4][5] In February and March 2021, Carlsen also made three appearances for Hvidovre in the Danish 1st Division.
In his final season in Hvidovre, Carlsen scored 10 goals and 6 assists in 29 games, helping Hvidovre secure promotion to the 2023–24 Danish Superliga.
On 3 May 2023, Danish Superliga club Silkeborg IF confirmed that they had signed Carlsen on a deal until the end of 2027.
[6] On 23 July 2023, he made his debut for Silkeborg in a league match against Brøndby IF.