Piers Morgan and Sharon Osbourne published a video online in which they discuss their opinions on the importance of free speech, the perceived problem of 'cancel culture' and what they believe is the "lost art of arguing".
Former Good Morning Britain Host Morgan said he feels people have lost touch with being able to have a different opinion without ripping each other apart.
"I love having a good old tear-up and then a good drink and a laugh, and we've lost that second part of the equation," he said.
Reality TV star Osbourne agreed.
"You can say what you feel - you can get really angry with each other, and boom, the next day we're back on again. With Piers, it might take him a couple," she said.
Morgan went on to say: "You can have a vigorous debate with somebody, vehemently disagree, and be severely critical. You can call me all sorts of things. That's fine.
"But the moment you try to get me fired, as Meghan Markle did on Good Morning Britain, where she personally writes to the boss of ITV and demands my head on a plate, that is cancel culture right there."
The Sun reported in March, 2021 that Meghan Markle was one of 40,000 people who complained to ITV about Morgan's comments on Great Morning Britain (GMB) after her hit interview with Oprah and the claims she made about the Royal family.
Morgan said ITV told him he had to leave his role on the show unless he apologised.
"I used to think GMB was uncensored, and then of course it turned out that I actually was being censored, in the sense that I was told I had to apologise for just not believing Princess Pinocchio or I would have to leave the building.
"So I took the leave-the-building option, which I thought was a sad moment for me and for the show."
Morgan said it made him ask the question: "What is free speech?"
Osbourne left US talk show The Talk after she got into hot water for defending Morgan's attack on Markle.
Morgan said Osbourne has been "unemployable" after the controversy, which runs counter to the idea that cancel culture doesn't exist.
"Simply, her crime was tweeting that I was entitled to my opinion. She didn't even agree with it," said Morgan.
Both outspoken talk show hosts have new shows set to premiere later this year.