Zak began karting at the age of nine. Two years later, in 2016, Zak claimed the rookie championship in British Super One and won the British GP Kartmasters Championship, before moving into European karting in 2017. A season in the CIK European OKJ Championship and the WSK European Championship resulted in 10th and 9th places respectively. The British driver demonstrated his progress the following season, bettering his 2017 effort to place 6th overall in the WSK European Championship.

In 2019, Zak made a successful debut in the Ginetta Junior Championship, claiming three wins to become Rookie Champion and placing second overall. The following year, Zak’s maiden season in single seaters saw him finish as vice-champion in the 2020 F4 British Championship. His impressive campaign saw him claim nine wins and 19 podiums, missing out on the title by only four points.

In 2021, Zak entered the GB3 Championship, and an extraordinary debut season saw him crowned Champion, having secured six wins and 13 podium finishes. With 18 top ten finishes to his name, Zak’s notable consistency throughout the season saw him win by an impressive margin of 164 points over his nearest championship rival.

In 2021, Zak was selected as a finalist for the renowned Aston Martin Autosport BRDC Young Driver of the Year Award (AMABA), which he was later crowned the winner of for 2021.

In 2022, Zak completed his first rookie season in the FIA F3 Championship with Carlin, impressing with several strong performances, including pole position and a podium in front of home crowds at the British GP. In the same year, Zak was announced as a Williams Racing Academy Driver, joining Williams ahead of the new season.

In 2023, Zak joined PREMA Racing for the 2023 FIA Formula 3 Championship. He had a stellar year, achieving 4 wins, 1 pole, and 5 podiums. Closing the season as runner-up, Zak secured the most race wins of any driver in the championship.

Zak graduated to FIA Formula 2 for the 2024 season, going on to win two feature races at Monaco and Spa. His season with ART Grand Prix ended prematurely following the Monza race weekend, however he will continue within the Williams Racing Driver Academy, further developing his skills and preparing for the next step in his motorsport career.