The news website also claimed that he had recently suffered a heart attack.
Kensington Palace, the official residence of the couple, pleaded in a statement for "understanding and respect" during a "difficult situation" as United States media reported that Mr Thomas Markle had suffered a heart attack after fallout from allegedly staging paparazzi photos of himself.
The wedding plans were thrown into turmoil amid reports that Markle's attendance was in doubt following the paparazzi scandal, rocking the royal family's meticulous planning for the event.
Megan's dad had been intending to travel to Britain for the ceremony, at St George's Chapel in the grounds of Windsor Castle.
He also said he is willing to risk his health and has asked doctors to release him from the hospital on Wednesday, so he can attend the wedding. There's been a lot of digging into her family and I don't think it's been fair. The father of the bride said, "This is a historic moment. I'd like to be a part of history". Her father Thomas Markle, who has never met his daughter's fiance, has swayed between confirming his attendance and then reneging on that promise.
Press photographers focus on Meghan Markle and she joins Britain's Prince Harry for a walkabout at Edinburgh Castle in February.
However, during her "GMB" interview, Samantha told of how she hoped her father would still make the wedding, despite not being invited herself.
He reportedly told TMZ that she followed up with a text "telling him [she] loved him" and was anxious about his health and that she was not upset with him for selling "staged" photos to the paparazzi.
We'll see if Markle remains a hot topic on YouTube after her union with Prince Harry is solidified.
"She and Prince Harry are begging for people to give him some space".