An altercation between the judges occurred at American Idol's open auditions in North Carolina in October, where Minaj was caught on tape saying she was not "not f**kin' putting up" with Carey's alleged diva behaviour.
Carey has said that she hired extra security following the altercation, but clarified at the TCAs last week that "time heals all wounds".
Minaj has since admitted on The Ellen DeGeneres Show that both she and Carey acted inappropriately on the American Idol set.
"I don't know. It was just two big old divas, I guess," she joked to DeGeneres.
The 'Pound the Alarm' singer continued: "I was just like sitting there, and I guess before I went in there I heard all the stuff that was being said, but I didn't believe it. I heard them saying 'Mariah doesn't want you on the panel' but I was like, 'No. I am friends with Mariah'.
"I was like arguing people down. Like, 'Don't believe everything you read, you're crazy'. And so I went there and I started to feel a bit of the shade. And I just kind of overcompensated by being crazier."
Fellow judge Keith Urban also addressed the controversy in recent days by acknowledging that "toes get stepped on" among American Idol judges.
The new season of American Idol starts with a two-night premiere next Wednesday and Thursday (January 16 and 17) on Fox. UK viewers will be able to watch the new season on 5* when the first episode debuts at 8pm on Thursday, January 17.
Watch Nicki Minaj's appearance on The Ellen DeGeneres Show below: