Oy vey! I can't believe that this topic is something that still stirs controversy. Anybody who takes the time to study the cultural roots and master the techniques of any cuisine earns the right to call it whatever they want to call it. So yeah, a woman born in China can make authentic Parmesan cuisine as long as she has taken the time to become acculturated to Parma and has mastered the basic cooking techniques etc.
Of course, if you believe that each culture has a "soul" that is imparted to it's members only at conception or that cultural identity is encoded in the genes, then no immigrant anywhere can produce anything that is authentically representative of his adopted culture.
But then I'd have to accuse you of smoking crack or something analogous.
Is Cuisine Still Italian Even if the Chef Isn’t? - New York Times