During Thomas' interview, the 73-year-old spoke candidly about his daughter and her husband, saying that they were "disappointed" and that Markle "cried" when he said he could no longer make their wedding.
Meghan Markle's father, Thomas Markle, was allegedly paid upwards of $60,000 to speak to a British morning show on Monday, according to a new report.
Thomas revealed that Meghan told him that she was dating the prince over a series of phone calls.
Harry and Meghan were next, with the Earl and Countess of Wessex, and the Duchess waved as they travelled past the packed stands on their way to the royal box.
He said he broke the news to Harry, Meghan and one of their security staff about definitely calling off his United Kingdom trip just before being admitted to hospital with heart problems for a second time. Harry said "I've got one of my military friends to look after you".
"I realized it was a serious mistake", Markle said.
"But they were very emphatic about not giving information to the press because it just encourages them more", he said.
In the interview, Mr Markle said his daughter "had the sense" not to invite any of her family members after up to "60 Markles came out of the woodwork" asking for wedding invites. "I sort of disagreed with that". She did cry. And they both said, 'Take care of yourself.
"I was honored. I can't think of a better replacement than someone like Prince Charles", he said.
He ended up watching the wedding from California, with Prince Charles taking his place and walking Meghan down the aisle.
The race went to Without Parole - ridden by Italian legend Frankie Dettori and trained by John Gosden - whose Canadian owner John Gunther said it was the best day of his life.
"She was attractive", he said lovingly.
He refused to speculate on when the newlywed's plan to become parents but said his daughter had "always wanted children". "I thought she looked very good, I kind of wish she was sitting next to someone".
"Our conversation was, I was complaining I didn't like Donald Trump", Thomas recalled. There was no real commitment for it. Apparently the Duke of Sussex is "open" to Brexit and that Trump should be "given a chance". "There's got to be a child in the making there soon".
The Duke and Duchess of Sussex, who were married at Windsor Castle last month, have timed their trip to coincide with the Invictus Games in Sydney in October.