In a large skillet, brown garlic in olive oil and butter. Discard the garlic and toss zucchini in the oil mixture. Add grated cheese, basil and toss. Season with salt and pepper. Transfer to a shallow baking dish and sprinkle with additional grated cheese. Cover the dish and bake at 350 degrees for about 10 minutes or until the zucchini is fork-tender. Garnish with parsley and chives.