Combine first 6 ingredients in a large zip-top plastic bag. Add chicken; seal bag, shaking to coat.
Heat oil in a Dutch oven over medium heat. Add chicken and remaining flour mixture to pan; cook 3 minutes on each side or until lightly brown. Add carrot and onion; cook 3 minutes, stirring frequently. Add broth, wine, and potatoes; bring to a boil. Reduce heat, and simmer 35 minutes or until chicken is done and vegetables are tender.