I am pretty certain the answer is "no, there is no such word or dedicated short phrase in English" (by "dedicated short phrase" I mean a phrase that's always used for this specific meaning, as opposed to every person making a sentence anew when they talk about the concept).
That's pretty hard to prove unfortunately, and maybe someone will answer with an example. But here is an article, referring to the specific concept, I found while googling "parent only boys" and "parent only girls":
This article refers to a study on parents who have only girls and only boys and how they spend for college. If the word existed and was common enough you'd expect an article and study like this to use it. But they don't; they talk about "parents of all boys" and "parents of all girls" in the article and "parents of only boys" in the title, suggesting none of those are dedicated phrases either.