Heat olive oil in heavy large skillet over medium-high heat. Sprinkle chicken with salt and pepper. Add chicken to skillet and sauté until brown and cooked through, about 5 minutes Per side. Transfer chicken to platter; tent with foil.
Add lemon juice, garlic and lemon peel to same skillet. Stir over medium-high heat until fragrant, about 30 seconds. Add chicken broth; boil until reduced to sauce consistency, about 8 minutes. Mix basil into sauce. Season to taste with salt and pepper.
