The Hammers are looking to bring in a new manager following the dismissal of Avram Grant earlier this month, following relegation from the Premier League.
“Anybody would be silly not to be interested in a club like West Ham,” Dowie told Sky Sports News.
“You never know if you will get that call or not, but I sense they may go for a slightly bigger name and look to make a statement. You would understand that and there is no problem with that.
“You always think you can add a bit of a difference and add a bit of value on the training ground. I always think it is important as a coach to develop players and I think my record is fairly good at that.
“I’ve always said given the right opportunity that would be right.”
