1. Preheat oven to 400 degrees. Generously rub a baking sheet with oil. In a food processor, pulse bread until it turns into coarse crumbs.
2. In a large bowl, stir together buttermilk, hot-pepper sauce, 3/4 teaspoon salt, and 1/2 teaspoon pepper. In a separate bowl, mix breadcrumbs, Parmesan, thyme, and 1/8 teaspoon pepper.
3. Place chicken in the buttermilk mixture, turning to coat evenly. Working with one piece at a time, remove chicken from liquid, letting excess drip back into bowl; dredge in the breadcrumb mixture, turning to coat evenly. Place coated chicken pieces on prepared baking sheet. Leave enough space between the chicken pieces so that they crisp evenly all the way around.
4. Bake until chicken is golden brown, about 35 minutes.

Serves 4.