Aaron Motsoaledi condemned "health tourism" while speaking in Zimbabwe.
President Robert Mugabe, who frequently receives treatment in Singapore, had left the meeting of health ministers when Dr Motsoaledi made the comments.
Mr Mugabe's spokesman has said that the president's doctor "is not only Zimbabwean, he is actually black… He is very, very, very black".
George Charamba made those comments to Zimbabwe's state-run Herald newspaper in May, insisting that President Mugabe was not turning his back on Zimbabwean medical help.
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