"I'm a conspiracy theorist. The government did that. They set her up," he quipped during an episode of "The Ellen DeGeneres Show," which airs today.
Still, in all seriousness, Carey's ex-husband said that anything can happen during live television.
The two split in August 2014, but have 5-year-old twins together.
"Anyone who knows about performing and having inner-ear [monitors] and stuff, things like that can go wrong on live television," he explained. "I do live television all the time ... so when there are people in your ear saying things and stuff, I think she got a little flustered."
Cannon, 36, continued, "But being the diva that she is, she said, 'I'm just going to walk around and pose for seven minutes.' And like Ryan Seacrest says, she can do no wrong. So she worked through it."
Reps for Carey, 46, said her performance during "New Year's Rockin' Eve" had technical difficulties because her "earpiece was not working."
"I had medication issues," he admitted. "It was definitely life-threatening, but once I got to the hospital, the great doctors at Cedars[-Sinai Hospital in Los Angeles] got it all in order, but I had too much medicine going on."
"Seventy percent of the blood ended up going to one of my arms," Cannon continued. "This arm was like Popeye's, so I kind of knew something was wrong but then once I got the hospital, we got it all in order and got my levels back together."
"It's working. I feel at one," Cannon said.