[4][5] As a result of Zampa's youth career for Australia, he was given a rookie contract with New South Wales in 2010,[3] but he did not get any opportunities to prove himself at state-level because New South Wales also had a number of other successful spin bowlers, such as Nathan Hauritz, Steve O'Keefe and Steve Smith.

[1] He did get another opportunity to represent Australia before his first-class debut, playing in the 2011 Hong Kong Cricket Sixes.

[7] Despite not having a contract with a Big Bash League team until a week before BBL|02 began, he played for the Sydney Thunder and was highly rated by Trevor Hohns.

[8] During the 2013 winter, he spent three months training at the Centre of Excellence before joining the South Australian squad for the 2013–14 season.

[21] Despite how recently he'd been added to the squad, he was Australia's leading wicket-taker with five wickets at an average of 13.80 and an economy rate of 6.27,[20] including a breakout performance against Bangladesh with figures of 3/23.

Playing for Rising Pune Supergiant in the Indian Premier League against the Sunrisers Hyderabad, he took 6 wickets for 19 runs and ranked as the third best performance as a bowler in the history of the IPL after 6/14 by Sohail Tanvir and 6/12 by Alzarri Joseph.

[23] He was named man of the match for his performance, and this was also the record for the best bowling figures by a bowler in Twenty20 history in a losing side.

He was unable to reach exceptional form in the Sheffield Shield, being a victim of South Australia's very strong pace attack, with Chadd Sayers and Kane Richardson taking all of the wickets themselves and not leaving opportunities for Zampa to stand out.

[34] On 4 November 2021, in Australia's T20 World Cup match against Bangladesh, Zampa took his first five-wicket haul in T20 cricket.

[37] In September 2023, he tied with fellow Australian Mick Lewis, the unwanted record of most runs conceded by a bowler in ODIs, going 0/113 versus South Africa.

Zampa came into the tournament as the only specialist spinner in the team after Ashton Agar was removed from the squad due to injury.

[40] On 20 October 2023, Zampa was the pick of the bowlers taking 4 wickets giving 53 runs with an economy of 5.30 and helped his team to win over Pakistan.

[44] On 11 June 2024 he became the first Australian bowler to take 100 wickets in T20 internationals by dismissing Bernard Scholtz of Namibia.