Earlier it was rumoured that Cole, who was sacked from 'The X Factor' USA after a brief stint as a judge, was in negotiations with the bosses for a return to the UK version of show, reported Daily Mirror.
"She was a really, really good judge. I mean, she took what she did seriously. She used to phone me almost every night - one, two, three o'clock in the morning, talking about songs and what she should be doing," Cowell, 54, said.
The pair are once again on speaking terms after their falling out in 2011.
