[4] Zuber made his first-team debut for Grasshopper on 12 July 2008 in the Intertoto Cup second round, second leg match against KS Besa, where he came on as an 83rd-minute substitute.

On 5 July 2013, Zuber signed a five-year contract with Russian Premier League champions CSKA Moscow.

[11] On 4 August 2020, Zuber joined Bundesliga club Eintracht Frankfurt, with Mijat Gaćinović going the other way as part of a swap deal.

On 30 August 2021 he signed a long-season contract with Superleague Greece club AEK Athens on loan from Eintracht Frankfurt.

[14] The deal between the two clubs includes a buy-out option in the region of €2,000,000, while Zuber will sign a three-year contract, should AEK choose to exercise it.

Zuber was a key figure in helping AEK win the Greek Superleague title scoring 8 goals in 28 matches.

[22] During the preparation for the main tournament, he scored the opening goal from long distance in a friendly win against Estonia.