Angolan public prosecutor Helder Pitta Gros told reporters on Monday that Angola had filed an international arrest warrant for Isabel dos Santos, accusing her of fraud.
In an angry rebuttal, dos Santos said "There is no doubt that we are in a context of political persecution," dos Santos, 49, said in an interview broadcast late Tuesday on TVI/CNN Portugal.
"The prosecutor gets his orders directly from the president," she added.
Portugal's Jornal de Negocios published a draft of the arrest warrant, which said Isabel dos Santos was being sought for fraud against the government, money laundering and criminal association.
In the TV interview, dos Santos said that she was not aware of an "official document."
According to the leaked arrest warrant, dos Santos allegedly siphoned off money from Angola's state-run oil company Sonangol, which she had run before her father handed over power.
Dos Santos' father, Jose Eduardo dos Santos, handed over power to Lourenco in 2017 after a 38-year reign marked by a reputation for corruption and nepotism.
He died this July. The following month, Lourenco, 68, was elected to a second five-year term.