Zarin was dropped from the show last year along with three other cast members, while Aviva Drescher, Carole Radziwill and Heather Thomson were later brought onto the Bravo series in an attempt to shake it up.
Appearing on Watch What Happens Live, Zarin was questioned by Bravo's Andy Cohen on why she had been fired.
"You asked the question, 'How did it feel?'" she said. "It felt like a death. It felt like my funeral. I was heartbroken.
"I felt like you were my parents and I felt that when it was Bethenny [Frankel]-Jill, I felt like you picked favourites. I always did."
Zarin added: "I am sensitive. I'm human. I am very sensitive. I've gotten less sensitive, by the way; I'm just bringing things up you're asking me questions about. I'm actually much less sensitive, but that's one of the things that I learned."
Zarin also criticised the new Real Housewives of New York City cast members, saying: "I feel like if you're going to bring these characters into my home, if you want me to like them and root for them, who the hell are they? I feel that as a viewer, you knew who I was. You knew my mom, you knew my husband, you knew my daughter."
She suggested that Thomson was picked to replace her as they share a "sense of humour" and are both "the voice of reason", saying: "But let's be honest, she says she's Jewish but she never converted... You never saw her house. You never saw her apartment. You never saw her kids. How could she be me?"
Zarin added: "Listen, you can't replace me, Andy. You can try to replace me, but you can't replace me!"
Earlier this year, Bravo denied rumours that Zarin could be returning to The Real Housewives of New York City.