The Twilight star's appearance on the morning show - arranged to promote his movie Cosmopolis - had been highly anticipated following the news that Stewart cheated on him with director Rupert Sanders.
Appearing on the ABC show this morning, Pattinson was handed his favourite cereal Cinnamon Toast Crunch in reference to his recent visit to The Daily Show, where Jon Stewart gave him ice cream.
However, when asked what he would like to tell his fans following news of Stewart's infidelity, Pattinson remained tight-lipped.
"I'd like my fans to know that Cinnamon Toast Crunch only has 30 calories a bowl," he quipped.
Pattinson went on to admit that he is not interested in publicising his personal life, saying: "You get into [the industry] to do movies. I've never been interested in trying to sell my personal life, and that's really the only reason people bring it up. So that's the reason why you go on TV - to promote movies. That's the only way to do it."
The actor described fame as like "being on the craziest theme park ride you've been on", adding: "It's totally exciting, but eventually at some point you've got to have a break."
"The weird thing is, I can't really tell what's interesting about actors either," he continued. "People don't find the personal lives of people with much, much more power than many celebrities would have - they don't find their personal lives interesting.
"I think if you put the lives of people who control billions of dollars on the front pages of every single paper, I think the world would be a better place... The spin culture, if you took away publicists and people spoke for themselves, they'd have to be responsible for their words."
Pattinson also quipped that he only has a "de facto publicist", his manager, joking: "He gives great advice so I can disregard it."
Meanwhile, when asked if he is doing well, Pattinson replied: "Yeah. Yeah, I am."
Pattinson, who yesterday opened the New York Stock Exchange, has admitted that he finds the reports surrounding him "weird".
Photo gallery - Robert Pattinson and Kristen Stewart's relationship in pictures: