The 2010 Soccer World Cup hosts were asked to stage the tournament after Libya withdrew as hosts due to political upheaval.
Mbalula said: "We've got the responsibility that we too as Africans can organise better events.
"This coming year in Jan 2013, African will grace South Africa. We welcome you to our country."
Mbalula was speaking at a final qualifying draw at Emperors Palace on Thursday, which pitted African heavyweights Ivory Coast against Senegal.
South Africa won the continental showpiece on home soil in 1996.
Full round of 30 draw results:
Mali v Botswana
Zimbabwe v Angola
Ghana v Malawi
Liberia v Nigeria
Zambia v Uganda
Cape Verde v Cameroon
Mozambique v Morocco
Sierra Leone v Tunisia
Guinea v Niger
Sudan v Ethiopia
Libya v Algeria
Ivory Coast v Senegal
Democratic Republic of Congo v Equatorial Guinea
Gabon v Togo
Central Africa v Burkina Faso