The couple split in 2005 after five years of marriage amid rumours that Pitt had fallen for Angelina Jolie on the set of their movie Mr and Mrs Smith.
However, Crow said she learned the truth when she became friends with Aniston after the actress ditched Pitt and she split from cyclist Lance Armstrong.
She said: "For both of us, the perceived idea is that, in our big relationships, we both got dumped. Believe me, this is not true. Neither one of us has ever gotten dumped. No one ever knows what goes on in relationships.
"Unfortunately, for some people like Jennifer and me, so much is written about things that you don't say, and so many emotions are attributed to you that you haven't had."
A friend also insisted that Aniston had called time on the marriage, telling the National Enquirer: "Once Jen saw the writing on the wall, she dumped Brad.
"She took a cold, hard look at her marriage and realised it was irretrievably broken. She and Brad had vastly different personal agendas and feelings about love, career and having a family."
> Jolie wanted to spare Aniston's feelings