Kappenberger began his career at lower-level clubs, including
Oure and
Fredensborg BI, before joining
FC Helsingør in 2017. In June 2018, he signed with
Danish Superliga club
Hobro IK. There, he mainly featured as a backup to starting goalkeeper
Jesper Rask. On 11 July 2023, Kappenberger joined newly promoted
Danish Superliga club
Hvidovre IF on a two-year deal. On 30 May 2024, Hvidovre confirmed that they had terminated Kappenberger's contract by mutual agreement. The following day, he signed with
Hillerød Fodbold on a contract until June 2026. ==References==