Condou, who plays Marcus Dent in the ITV soap, has two children with boyfriend Cameron Laux, born to a female friend who acted as a surrogate mother.
In a self-penned piece appearing in the Evening Standard titled 'Sorry, Rupert, but I'm proud to be a gay dad', Condou condemned the openly-gay actor for distancing himself from the LGBT community by "sniping gorgeously from the sidelines".
"Sometimes it must seem a little difficult to see us mortals far below," he wrote. "Anyway, Cameron and I wish to report to you from the ground. We're a gay couple who wanted to have children and saw no reason why we shouldn't because we are, after all, people.
"We were aware that there's now robust evidence that children of gay couples grow up with almost no differences developmentally or intellectually to the children of straight couples... The challenges of gay parenting, and there are lots, are, we've discovered, actually almost the same as the challenges of parenting full stop.
"But we are most decidedly mundane and proud to be of this world rather than moaning from its periphery."
Condou also suggested that Everett was from an old school of thought which believed "gays were better than everyone else" for being "outsiders".
Charlie Condou and Coronation Street co-star Brooke Vincent (Sophie Webster) at Manchester Pride
"It's sadly true that once upon a time that rickety narcissism was thought to be radical," he said. "We'd happily look inward all the time if our daughter would stand for it, but she's a switched-on 3-year-old and questions nonsense wherever she sees it.
"We hope, nevertheless, that she'll one day take an interest in the soon-to-be-lost world of which Rupert and his kind are a part."
Everett has publicly apologised for his comments this week, insisting that he is "not against anybody doing anything".
Condou penned a similar piece to Brian Sewell last year after the critic suggested that there were too many gay characters in Coronation Street.