Centre-back Hadebe missed the goalless draw on the weekend with Bleomfontein Celtic with an ankle injury, while striker Zuma has shaken off a groin strain that has kept him out for three weeks.
Chiefs’ first team physiotherapist Dave Milner confirmed the duo's return and also revealed new signing Kabelo Mahlasela is likely to join his teammates for training next month.
Winger Mahlasela had knee surgery in January shortly after joining Chiefs from Celtic as part of the deal that saw Lorenzo Gordinho go on loan to Siwelele.
“He [Mahlasela] is jogging on the field and will do so for the next two to three weeks before joining his teammates at training,” Milner told the club's website.
Chiefs on Saturday face title rivals Orlando Pirates, with kick-off set for 15h30.
The two teams are hot on the heels of Mamelodi Sundowns, who enjoy a four-point lead at the Absa Premiership summit with eight games left.