Make instances of field collections private

Does anybody know how to make instances of a field collection private? And by this, I mean, I have a field collection, and I'd like to have a check box or something for public or private so that each time you press "add another" to create a new instance, you can set the part of the collection to be viewable only by users of a certain role. I don't want to make the whole field collection private, but each individual section.