[8] He was part of the first-team squad twice, but only sat on the bench for matches against SV Sandhausen and VfL Bochum.

[18][19][20] During the season, Vitesse reached the final of the KNVB Cup, but lost 2–1 to Ajax.

[22] On 4 November 2021, Rasmussen scored a goal and an own goal in the span of four minutes in the UEFA Europa Conference League match against Tottenham Hotspur, coached by Antonio Conte in his debut as manager of the club.

[24] On 30 July 2022, Rasmussen returned to the Netherlands and joined Feyenoord on a season-long loan with an option to buy.

[27] On 14 July 2023, it was announced that Fiorentina and Brøndby had reached an agreement for the transfer of Rasmussen for an undisclosed fee, reported to be €3 million.

[31] On 3 September, he scored his first goal for Brøndby, easily tapping the ball in from close range to kickstart a 3–1 victory over Randers.

[32][33] On 13 September 2024, Rasmussen was named as Kevin Mensah's replacement as club captain.