Sprinkle chicken with salt and pepper. In a large skillet heat 2 tablespoons of the olive oil over high heat. Add half the chicken; cook and stir until browned, about 4 minutes. Remove to a bowl. Repeat with remaining chicken. To skillet, add remaining 2 tablespoons olive oil; stir in onion, rice and garlic. Cook and stir until rice is golden, about 5 minutes. Add chicken broth, 1/4 cup water and thyme. Bring to a boil; reduce heat and simmer, covered, until rice is almost tender, about 15 minutes. Stir in chicken, broccoli and radishes. Cover and cook until rice is tender, about 5 minutes.
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