[1] Kamber spent his youth career at Basel and for a short time at Red Bull Salzburg.

Kamber was a part of Basel's 2013–14 UEFA Youth League campaign, where he scored against Chelsea in a home match.

In February 2015, he moved from Basel U21s to Servette and there, on 4 March 2015, he made his debut for the first team in the away game against Lausanne-Sport.

On 4 May 2016, he and his team won the Liechtenstein Football Cup, following a 11–0 final victory against Schaan.

[2] On 16 August 2022, Kamber moved to Poland to join Ekstraklasa side Górnik Zabrze on a two-year contract with an extension option.