The French basketball star and Longoria split in 2010 after three years of marriage.
Both Parker and his ex have moved on with new relationships - Tony has married French journalist Axelle Francine and is now a dad to the couple's son, while Longoria is now dating Mexican businessman Pepe Baston.
And now Parker has opened up about the marriage split in an interview with Canal + show The Conversation.
"It's not easy to leave a relationship, because when I get involved in something, I want to do well," the sportsman said.
"The exposure, I could not control. This is the world we live in today; everything is on the Internet and on social network sites. I never paid attention to what people said. Hollywood is another world, on another level."
Insisting fatherhood has made him "a new man", he adds, "I never imagined to feel so much love in this facet of my life. I never thought I'd be so happy."