GALLERY: MORE Euro 2012 WAGS
Domestic football's governing body on Thursday began the process of interviewing potential successors to the sacked of Pitso Mosimane, with five local candidates - Gordon Igesund, Steve Komphela, Gavin Hunt, Shakes Mashaba and Neil Tovey - shortlisted for the position.
All five of those men are South African, and ex-Leeds United defender Radebe is also under the impression Bafana do not need a foreign coach.
"Firstly, it was not a bad idea to sack Pitso (Mosimane) because we need new ideas for the team and I'm sure he (Mosimane) accepts that we needed a change because we were not getting the results. We want to see the best out of this team," Radebe told Football411.
"Secondly, I think it was a good idea to shortlist local coaches, because I don't think we need somebody from overseas. It is best to get someone with a better understanding of our football."
Radebe does, however, feel that whoever is appointed head coach will do better with a large technical team that can help him steady the ship.
"I don't think having a couple of coaches in the technical team will be enough," he said.
"I think the new coach will need a big technical team to help him with the selection of players, a motivator because players need that and so on to make sure they've got all angles covered.
"It won't be a bad idea to involve former coaches such as Clive Barker, but the bottom line is they must put together a technical team that will cover basically everything."