The country, which was the scene for this year’s World Cup finals, has already hosted the event in 1996, when they won the crown.
Now, fresh from the success of the global spectacle, it is looking to bid for the tournament once again.
South African Football Association (SAFA) president Kirsten Nematandani told the Sowetan newspaper: "Yes, we have put in a request to the Confederation of African Football. We are still (enjoying) the success of the World Cup and we hope it will be good for us in our bid to host the African Nations Cup."
Egypt, Tunisia, Sudan, Ethiopia, Ghana and Nigeria have all hosted the event more than once.
The next tournament in 2012 will be held jointly by Gabon and Equatorial Guinea, followed by Libya in 2013 – when the tournament is moved for the first time to odd years to avoid a clash with future World Cups.
Nematandani believes no major developmental changes will be required for South Africa, with everything in place after a successful World Cup.
He added: "There will be no question of infrastructure because it is here, accommodation is here. There will be no question of transport because it is here. World-class stadiums are here too. We have everything.
"We are going to update the government about this development."
When the event was held in the Rainbow Nation in 1996, it was due to unforeseen circumstances after original hosts Kenya failed to meet with the CAF deadlines.
Nematandani believes this is a factor that will work further in the country’s favour.
"Effectively, we have never bid to host the tournament and this will be our first time," he continued in Business Day. "We believe there is no better way to thank Africa for supporting us during the World Cup than to host the Nations Cup in the same match venues.
"Of course we need the support of our government and we will also be talking to them."
One potential problem may be which of the 10 World Cup venues to use for the continental showpiece, which requires far less stadiums for the event – a maximum of four have been used in previous years.
Nematandani said: "That is why I think that we have to give all the cities a chance and that means they (cities) would have to make bid presentations to become hosts.