Line two baking sheets with parchment paper. Set them aside for now.
In a shallow dish, stir together the Parmesan cheese, panko bread crumbs, minced basil, garlic powder, black pepper, and sea salt. Set it aside for a moment.
Slice the zucchini into very thin slices, about 1/4 to 1/8 of an inch. Place the slices in a bowl and drizzle them with the oil. Toss to coat.
Dip a zucchini slice in the breading mixture, coating both sides. Place the slice on a lined baking sheet. Repeat the process until they are all coated. The slices should be spaced enough so that they are not touching.
Bake the zucchini chips for about 25 minutes, or until they are just turning slightly golden on top.