It comes as an extract from Boris Johnson’s memoir, Unleashed, revealed he had tried to persuade the Duke not to leave the UK with his wife Meghan.
Mr Johnson said he was asked to give the Prince a “manly pep talk” to convince him not to step back from his royal duties.
Officials from Buckingham Palace and Downing Street are said to have believed the last-minute intervention in January 2020 could have succeeded in talking the Duke out of his decision.
However, despite his efforts, the Prince left for Canada the next day to be reunited with his wife and his son, Archie, triggering a rift with the rest of the Royal family.
His appearance on the TV show also comes in the week a US judge ruled his US visa application should remain private despite him admitting taking drugs in his memoir.
The Duke is scheduled to briefly return to the UK to attend the WellChild annual awards on Monday.