Sprinkle salt and ground nutmeg over chicken.
Melt butter in a medium-size skillet over medium heat; add chicken. Cook, turning frequently, 10 minutes or until golden.
Stir in wine and next 3 ingredients; bring to a boil over medium heat. Reduce heat to medium-low; cover and simmer 20 minutes or until chicken is done. Remove chicken from skillet; keep warm.
Whisk together broth and cornstarch until smooth; add to drippings in skillet. Cook over medium heat, stirring constantly, 1 minute or until thickened. Serve drumsticks over rice; spoon glaze over chicken. Garnish, if desired.
*Sparkling white grape juice may be substituted for white wine.