Coleman, a part owner of MLS side DC United, moved to Wales to take charge of the daily running of Swansea in the summer having bought a “significant shareholding” in the club.
He says the experiences of his family have highlighted the need for progress in women’s football in their new home.
“When I landed here and got to work, I have got to be honest, I was really frustrated,” Coleman said.
“My 11-year-old daughter Molly is a top, top [football] player. When we came over here, we couldn’t find a club for her to play for.
“There was not a comparable club that would give her the same level of competition that she would have got back in the US and that didn’t sit right with me.
“Molly is now playing for a boys’ academy team, only because there’s not access to a girls’ team at her level.
“My younger daughters, Winnie and Samantha, both play for Mumbles Rangers. There are hundreds of little girls lined up there. When we go and play in the street, there are hundreds of girls.
“There’s absolutely the desire for women’s football here. What they need is the opportunity.”