Place a large nonstick skillet coated with cooking spray over medium-high heat. Add onion and carrot; sauté 3 minutes. Add potato; sauté 2 minutes or until onion is tender. Remove potato mixture from pan; set aside.
Combine flour, salt, and pepper in a large heavy-duty zip-top plastic bag; add 4 chicken pieces to bag. Seal and shake to coat. Repeat procedure with remaining chicken pieces and flour mixture.
Wipe pan with paper towels; recoat with cooking spray. Add oil; place over medium-high heat. Add chicken; cook 6 minutes or until browned on all sides, turning frequently. Add potato mixture, curry powder, and next 5 ingredients to pan; bring to a boil. Cover, reduce heat, and simmer 20 minutes. Add apple; cook 10 minutes or until chicken is done and apple is tender.