1. Place carrots and shallots in nonstick skillet, and heat over medium heat. Cook 2 to 4 minutes, or until beginning to brown.
2. Stir in honey, and season with salt and pepper, if desired. Partially cover, and reduce heat to medium-low. Cook 15 minutes, or until carrots are tender. Uncover, stir in vinegar, and increase heat to medium-high.
3. Cook 2 minutes more. Stir in parsley, and serve.