Note that a comma can change everything. In the sentence フランスの、日本人がタイプの女の人を紹介してください。, フランスの modifies 女の人, thus, it means "Please Introduce a French woman whose type is Japanese guys to me".
Furthermore, the meaning can differ also depending on the context. For instance, フランスの日本が好きな女の人 usually only means "a French woman who likes Japan" even without a comma after フランスの. It's not interpreted that フランスの modifies 日本, since フランスの日本 "Japan in France" doesn't make much sense.
Anyway, ~の…が can be ambiguous in some cases, and I think it's similar to a structure "a woman who likes Japanese guys in France" in English. (The word order 日本人を/のことが好きなフランスの女の人 doesn't have this ambiguity, as same as "a woman in France who likes Japanese guys".)