Meanwhile, reports have surfaced that Grace Mugabe had handed herself over to police and was due to appear in a Johannesburg court later on Tuesday.
In a statement, they confirmed that on Monday an unnamed 20-year-old South African woman had registered a "case of assault with intent to do grievous bodily harm".
Zimbabwean First Lady Grace Mugabe's lawyers believe that she qualifies for diplomatic immunity in the assault case against her, South African police say.
While South Africans are still questioning Zimbabwean first lady Grace Mugabe's whereabouts, rumour has it that she is back in her homeland in Harare, Zimbabwe.
South African media said Ms Mugabe had been in the country to have an injured foot examined. "With an extension cord and used the plug to hit me", she explained with a picture showing a deep cut on her forehead. "Over and over", Engels told a local news channel.
The incident occurred at about 9pm on the Sunday, when Mrs Mugabe went to visit her two sons Robert Jnr and Chatunga. "I needed to crawl out of the room before I could run away".
"This doesn't mean she can not be arrested".
Last month she urged her 93-year-old husband to name his chosen successor, fuelling renewed speculation about the race to take over from the world's oldest national leader.
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"Witnesses at Arnolds Farm [said] that anti-riot police, who claimed to be acting on behalf of First Lady Grace Mugabe, on several occasions ordered residents to leave the farm, demolished homes, destroyed property, and beat up those who resisted".
The Zimbabwean High Commission in South Africa has yet to respond to a request for comment.
"They are made worse by their having to follow the lead of Mbalula, a Police Minister who knows more about making himself trend on Twitter rather than improving police operations and investigations in order to reverse the rising and ongoing trends of serious, organised and violent crimes".
It was not immediately clear whether Mugabe, 52, was travelling on a diplomatic passport or would qualify for immunity if police bring charges against her.
She said she had recently met the Mugabe brothers and that mutual friends invited her to hang out at the hotel.
Her sons, who are both in their 20s, live in South Africa.
War veterans recently pooh-poohed Grace's chances of ever leading this country saying she can not dream of being the country's vice president or president when she can not take care of her two sons who are accustomed to a life of glitz and glamour. Engels was quoted as saying by the Guardian.