In the interview, Trump said that he has considered his daughter, who works in the White House as an assistant to the president, for various positions, including United Nations ambassador, however, he has been dissuaded due to the appearance of nepotism. "I've seen her under tremendous stress and pressure", he said. "It responds very well - it's usually genetically predisposed to it", he boasts.
Stephanie Grisham, a spokeswoman for Ivanka, said both have "always shared a close relationship and still do today".
The position of the president of the World Bank has historically gone to an American, while a European has led the International Monetary Fund, its sister organization.
Plott was on CNN Friday to talk about her new profile on Ivanka - which explores how she navigates politics while meticulously working to control every aspect of her image.
She has been involved in World Bank initiatives on the economic development of women.
In particular Chief of Staff John Kelly, the Atlantic reported, was highly suspicious of Ivanka and her husband Jared Kushner, often disparagingly referring to them as "playing government" and bemoaning the administration having "three secretaries of state" because of the couple's level of influence with the president.
Trump insisted that "it would've had nothing to do with nepotism" and Ivanka would have been "incredible" in the role.
She also directed her own fashion line, the Ivanka Trump brand, which was shuttered last summer. "I was trying to dig up where the first time was that she might have said she was pro-choice, for example, or that she was a huge activist when it came to climate change".