Rasmussen played high school soccer at Bishop Gorman High School, where he was named Nevada State Offensive MVP two consecutive years and high school Offensive Player of the Year. In 2016, he was named second team All-Star, and as a senior was named to the Class 4A All-Southern Nevada team. Rasmussen also played club soccer with the Las Vegas Sports Academy.[2]
In 2017, Rasmussen attended Grand Canyon University to play college soccer. In four seasons with the Antelopes, Rasmussen made 55 appearances, scoring 16 goals and tallying ten assists. In his senior year, Rasmussen recorded nine goals and six assists for a team-best 24 points, earning WAC Preseason Offensive Player of the Year and All-WAC First Team honors. As a senior, Rasmussen became the first NCAA All-American in program history after scoring five goals in 10 appearances, landing himself on the United Soccer Coaches All-Far West Region First Team and featured on the Hermann Trophy watch list.[2]
On January 11, 2022, Rasmussen was selected 27th overall in the 2022 MLS SuperDraft by Portland Timbers.[6] He signed with the club on February 17, 2022.[7] He made his professional debut on March 13, 2022, starting in a 1–0 victory against Austin FC.[8]
Following his release from Portland at the end of their 2023 season, Rasmussen joined USL Championship side Oakland Roots on February 2, 2024.[9]
