Mix first 6 ingredients in shallow dish. Reserve 1 tablespoon flour mixture. Coat chicken with remaining flour mixture.
Heat 2 tablespoons of the butter and oil in large nonstick skillet on medium-high heat. Cook several of the chicken pieces 3 minutes per side or until golden brown. Remove from skillet. Keep warm. Repeat with remaining chicken. Add mushrooms to skillet; cook and stir 5 minutes or until tender.
Mix broth and reserved flour mixture. Add to skillet along with wine. Bring to boil, stirring to release browned bits in bottom of skillet. Stir in remaining 1 tablespoon butter and basil; cook 2 minutes or until sauce is slightly thickened. Spoon sauce over chicken to serve. Sprinkle with parsley.