Having joined the
University of Pretoria from
Dynamos at the start of the 2012–13 season, Zungu helped
AmaTuks to a top eight finish in the club's debut campaign in the
PSL. At the end of the season it was announced that Zungu would be joining Mamelodi Sundowns in a swap deal, with
Buhle Mkhwanazi and Siyabonga Ngubane joining University of Pretoria. Zungu suffered a hairline fracture of the shin in a 3–2 win over
Maritzburg United, ruling him out for up to twelve weeks. Despite missing most of the second half of the 2015–16 season, Zungu had the perfect send off from Sundowns with the club lifting the PSL title in May 2016. On 20 January 2016, Zungu's agent Steve Kapeluschnik confirmed that he would be joining Portuguese side
Vitória de Guimarães upon the expiration of his contract at the end of the season. After a season in Portugal, Zungu moved to French club
Amiens. Zungu signed for Scottish club
Rangers on loan from Amiens in October 2020. He joined
Amazulu in December 2024. ==International career==