Bring 3 cups water to a boil in a 3-quart saucepan; add carrots, return to a boil, and cook 4 minutes. Remove from heat; drain well.
Sauté shallots and bell pepper in hot oil in a large skillet over medium-high heat 3 minutes or until crisp-tender. Stir in carrots, vinegar, and next 3 ingredients, and cook 4 to 5 minutes or until liquid is reduced and vegetables begin to glaze. Remove from heat; stir in chopped parsley. Garnish, if desired.