Cook beans in large pot of boiling salted water until crisp-tender, about 4 minutes. Drain. Place beans in bowl of ice water to cool. Drain well.
Melt butter with oil in heavy large skillet over medium-high heat. Add garlic; stir 30 seconds. Add beans; sauté until heated through, about 5 minutes. Stir in parsley and lemon peel. Season with salt and pepper. Transfer to platter.