Smith, who is regarded as one of South Africa's greatest captains, told ESPNCricinfo that he was among those interviewed for the post.
South Africa have been fairing quite poorly ever since the retirements of their stalwarts and have struggled to replace the likes of AB de Villiers, Dale Steyn, Hashim Amla and Morne Morkel.
The Proteas crashed out of the 2019 World Cup in the group stage with just three wins after which they were handed a 3-0 thrashing by India in a recent Test series. They had also lost to Sri Lanka in a home Test series earlier in the year, the first time ever that they lost a Test series against an Asian side in South Africa.