Preparation Cook fennel bulbs in large saucepan of boiling salted water until crisp-tender, about 8 minutes. Drain; cool. Toss fennel, bell peppers, olive oil and 1 teaspoon chopped thyme in large bowl to coat. Season to taste with salt and pepper. (Can be made 1 day ahead. Cover and refrigerate.) Preheat broiler. Using mallet or rolling pin, pound each chicken breast between sheets of plastic to 1/2-inch thickness. Sprinkle chicken with salt and pepper. Place chicken, skin side down, on broiler pan. Watching closely, broil chicken 4 to inches from heat source until golden brown and almost cooked through, about 5 minutes. Remove broiler pan from oven. Pour off any pan drippings. Using tongs, turn chicken over and broil until skin is golden brown and chicken is cooked through, about 4 minutes longer. Transfer chicken to platter. Tent with foil to keep warm. Pour off any additional pan drippings. Working in 2 batches, arrange peppers and fennel in single layer on broiler pan. Broil until vegetables begin to brown and peppers and tender, about 2 minutes per side. Transfer vegetables to platter with chicken. Meanwhile, melt butter in heavy small saucepan over medium-low heat. Mix in remaining 2 teaspoons chopped thyme, lemon peel and fennel seeds. Season to taste with salt and pepper. Drizzle butter mixture over chicken. Garnish chicken with thyme sprigs, if desired, and serve.
Preparation Cook fennel bulbs in large saucepan of boiling salted water until crisp-tender, about 8 minutes. Drain; cool. Toss fennel, bell peppers, olive oil and 1 teaspoon chopped thyme in large bowl to coat. Season to taste with salt and pepper. (Can be made 1 day ahead. Cover and refrigerate.) Preheat broiler. Using mallet or rolling pin, pound each chicken breast between sheets of plastic to 1/2-inch thickness. Sprinkle chicken with salt and pepper. Place chicken, skin side down, on broiler pan. Watching closely, broil chicken 4 to inches from heat source until golden brown and almost cooked through, about 5 minutes. Remove broiler pan from oven. Pour off any pan drippings. Using tongs, turn chicken over and broil until skin is golden brown and chicken is cooked through, about 4 minutes longer. Transfer chicken to platter. Tent with foil to keep warm. Pour off any additional pan drippings. Working in 2 batches, arrange peppers and fennel in single layer on broiler pan. Broil until vegetables begin to brown and peppers and tender, about 2 minutes per side. Transfer vegetables to platter with chicken. Meanwhile, melt butter in heavy small saucepan over medium-low heat. Mix in remaining 2 teaspoons chopped thyme, lemon peel and fennel seeds. Season to taste with salt and pepper. Drizzle butter mixture over chicken. Garnish chicken with thyme sprigs, if desired, and serve.