Wash and trim the zucchini, cut them in half lengthwise, and then slice them into evenly sized sticks. In a large skillet, heat a generous drizzle of olive oil with the halved garlic clove to infuse it, then add the zucchini and brown over brisk heat. Season with salt and pepper.
Meanwhile, in a bowl, mix the breadcrumbs with the grated Pecorino cheese and dried oregano. Sprinkle the mixture over the zucchini while still over the heat, tossing well to coat them evenly.
Once the zucchini sticks are completely coated and the cheese-breadcrumb topping is golden and crisp, transfer them to a serving platter and serve warm, garnished with extra dried oregano to taste.