He was speaking at a breakfast on equal access of African women to high-level positions at the African Union and in the United Nations system, held on the sidelines of the 30th African Union Summit in Addis Ababa, Ethiopia.
The African Development Bank's President, Akinwumi Adesina, took an active part in a series of events on the sidelines of the AU Summit on January 27 and 28 in the Ethiopian capital. "When the United States decides to give us Trump as their president, we will deal with that president". He says he represented his country well, and he spoke about fighting corruption.
Chairman of the AU, Rwandan President Paul Kagame, said he knew nothing about the claims.
Trump has denied making the "shithole countries" comment.
Trump called Kagame a "friend" when they met at the World Economic Forum.
USA diplomats have scrambled for days to address shock and condemnation after Trump's reported comparison of African nations to a dirty toilet.
The letter gives no details on Tillerson's upcoming visit. Trump's letter and Kagame's careful response seem to have calmed things down.
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"Africa must work together to entrench integration and guarantee speedy reforms of the African Union", Mr Faki said.
"We have also facilitated humanitarian relief by securing the main supply routes to enable safe delivery of rations to most of the affected populations", the president said. The other member states of the Bureau are Libya (North Africa), Republic of Congo (Central Africa) and the Republic of Guinea (West Africa).
"It's a sensational and total preposterous accusation".
The Chinese dismissal comes in response to a report in French newspaper Le Monde that all the data on the computers at the African Union (AU) headquarters in Addis Ababa were being copied out to servers in Shanghai every night.
The letter was dated Thursday and sent before the African Union summit this weekend in Ethiopia.
The letter states that USA soldiers are "fighting side by side" against extremism in African nations and that America is working to increase "free, fair and reciprocal trade" with African countries.