He spent his youth and senior career in
Åsane. In the summer of 2021 Mvuka signed for
Bodø/Glimt. On 31 January 2023, Mvuka signed a four-and-a-half-year contract with the French club
Lorient and was loaned back to Bodø/Glimt until the end of the 2022–23 season. On 20 January 2024, Mvuka was loaned to
Young Boys in Switzerland, with an option to buy. On 3 February 2026, Mvuka was loaned to
Celtic in Scotland on loan for the reminder of the season, with the option to make the transfer permanent, came on as a sub in Celtic’s Scottish Cup quarter final win (4-2 pens) over rivals Rangers at Ibrox. ==Personal life==