Line a baking sheet with foil and place a cooling rack on it. Spray with nonstick cooking spray.
Arrange the zucchini spears on the cooling rack. Drizzle with olive oil to help the cheese mixture stick.
In a small bowl, combine parmesan cheese, thyme, oregano, and garlic powder. Season with a pinch of salt and a few grinds of black pepper. Evenly coat zucchini with cheese mixture.
Bake until tender, about 15 minutes. Brown them under the broiler for 2-3 minutes.