[2] He worked his way up through the club's youth academy, and on 31 August 2022, 17-year-old Munck made his official debut for Nordsjælland when he was substituted in a Danish Cup match against BK Frem.
[3] Munck made another appearance in a Danish Cup match in October 2022, before he started training regularly with the first team around the turn of 2023.
As a result, after sitting on the bench in a Danish Superliga match in early April 2023, he was promoted permanently to the club's first team later that month.
On 2 August 2024, it was confirmed that Munck moved to RSCA Futures, the reserve team of Belgian club Anderlecht, on loan from FC Nordsjælland, for one year with an option to buy.
[9] On January 21, 2025 it was confirmed that Munck moved to Danish 1st Division side Vendsyssel FF on a deal until June 2027.