Three weeks later while on a break from filming, Cole said she was asked to meet X Factor's executive producer in a London hotel where she was told she was being axed from the US show but still had a place as chief judge on the British program.
The producer also mentioned her strong Geordie accent may have been a factor in the decision, she says.
In the book, serialised in The Sun Sunday, the singer, who found fame in 2002 on reality television show Popstars: The Rivals, said she refused the offer.
Speaking about Cowell, she says: "(Cowell) didn't even have the guts to phone or send a message warning me what was coming.
"I was furious with Simon for letting it it happen like this. I believed we had a good friendship and I couldn't understand why he just hadn't been straight with me."
Cole says she wrote in her text to the entertainment entrepreneur: "I hate you. I understand you're a businessman, and what I've learned from this is that business means more to you than our friendship."
The singer was replaced on the US X Factor with Pussycat Dolls star Nicole Scherzinger, who is a judge on this year's UK series.
She said she made up with Cowell around six months later, with the mogul describing the decision to axe her as "the worst mistake I ever made".
- AAP