Lionesses coach Sarina Wiegman would be considered by the Football Association (FA) as a possible successor to England men’s manager Gareth Southgate.
Bullingham said on Thursday: “People always say it is the best man for the job or the best Englishman. Why does it have to be a man? I think our answer is always: ‘It’s the best person for the job.’ We think Sarina is doing a great job and hope she continues doing it for a long time. I think Sarina could do anything she wants in football.
“If at some point in the future she decides she wants to move into the men’s game, that would be a really interesting discussion, but that’s for her, right? I don’t think we should view it as a step up. If she decides at some point in the future to go in a different direction, I think she’s perfectly capable of that. It’s the best person for the job, if that best person is a woman, then why not?”
Wiegman, who is the first coach to take two countries to a World Cup final after leading Netherlands there in 2019, has only lost once in 38 matches as England coach.
England take on Spain in the World Cup final on Sunday. The Lionesses beat the Spaniards on their way to Euro glory last year.