Stir together Italian seasoning and next 4 ingredients. Sprinkle evenly on both sides of chicken.
Cook 3 chicken breasts in 1 Tbsp. hot oil over medium heat 6 to 8 minutes on each side or until done. Remove chicken from pan. Repeat with remaining 3 chicken breasts and 1 Tbsp. oil.
Sauté garlic in hot skillet 1 minute. Add chicken broth, and cook 2 minutes, stirring to loosen particles from bottom of skillet. Serve sauce over chicken.