The Goldeneye actor, who played the role in four films, told the Hollywood Reporter he believes it would be "exhilarating" and "exciting" to see a female Bond.
"I think we've watched the guys do it for the last 40 years," said the 66-year-old.
"Get out of the way guys and put a woman up there!" he added.
Daniel Craig is set to reprise his role as the fictional British spy for a fifth and potentially final time in next year's No Time To Die.
Brosnan, who also starred in Die Another Day, Tomorrow Never Dies and The World Is Not Enough, is hoping for a change of gender for the character but believes franchise producer Barbara Broccoli would not be up for the idea.
"I don't think that's going to happen with the Broccolis," he said.
"I don't think that is going to happen under their watch."
The next Bond film has filmed on location in Jamaica, as well as at Pinewood Studios near London.