The rapper explained that she looked up to the singer when growing up and found it "weird" when she fell out with the diva on the set of American Idol.
"I was kidding! I mean, no, but she has been one of my favourite artists of all time since I can remember," Minaj told Good Morning America.
"So it's weird that everything was blown up like that, but it didn't make me happy at all. She knows how much I adore her.
"Some of my best childhood memories with my mum, are from Mariah's music. I can't deny that and I can't take away what she's done in my life, and just pop culture in general, and having one of the most amazing voices in the world!"
She added: "So, having said that, I'm an adult and we're passionate on the set and sometimes when you are a passionate woman, it kind of ruffles other women's feathers.
"But I'm going to continue to be Nicki Minaj."
Minaj's repackaged album Pink Friday: Roman Reloaded - The Re-Up is available to buy now.
Watch the music video for Nicki Minaj's new single 'Freedom' below: