Preheat oven to 425.
Place carrots round side down side-by-side on a baking sheet. Season with salt, pepper, and nutmeg.
In a small bowl, stir together balsamic and brown sugar until combined. Add olive oil. Drizzle the whole mixture over carrots. Toss to coat.
Roast for 25-30 minutes, or until carrots are crisp-tender and caramelized (cooking times can vary depending on the thickness of your carrots). Sprinkle with fresh chopped parsley. Serve immediately.