Zubak began his youth career with the Arsenal FC Academy in California before joining the LA Galaxy Academy in 2013. Zubak was part of the Galaxy U16 Academy team that won a National Championship in 2014. On August 9, 2015, Zubak made his professional debut for LA Galaxy II in a 2–1 defeat to Arizona United SC.[2] He scored his first professional goal on April 2, 2016, against the Real Monarchs. He scored his first National Team goal on September 5, 2016, at the Stevan Vilotic Tournament in Topola, Serbia against Hungary.
On August 22, 2020, Zubak scored his first MLS goal against LAFC.
On December 12, 2021, Zubak was traded to Nashville SC in exchange for a first-round pick in the 2022 MLS SuperDraft.[3] He left Nashville following the 2023 season.[4]