Preheat the oven to 425°F. Thoroughly scrub and then peel the beets and the carrots. Cut into pieces, approximately ¾-inch in size.
Place the vegetables on a large baking sheet. Combine the oil, garlic, salt, and pepper in a small bowl. Drizzle the oil mixture over the vegetables and toss well with your hands to coat.
Roast for about 20 minutes, or until the carrots and the beets are fork-tender. Remove from the oven and sprinkle with thyme and parsley. Drizzle with balsamic glaze before serving, if desired. Serve warm.