I have two friends who speak Spanish; in the case of one, he grew up in Mexico; in the case of the other, his parents spoke Spanish at home when he was young.
They both say that "parientes" means "parents" whereas every book I've seen says it means "relatives."
It's easy to see how one could assume that "parientes" means "parents" but is it really so - maybe in certain regions of Mexico, for example, if nowhere else?