Cook rice in water as directed on package.
Meanwhile, in deep 12-inch skillet, heat oil over medium-high heat. Cook mushrooms, bell peppers, onions and garlic in oil 2 to 3 minutes, stirring frequently, until vegetables are tender. Remove from heat until rice is cooked.
Stir rice, pasta sauce, broth, chicken and 1/2 cup of the cheese into vegetable mixture; cook over medium-low heat about 3 to 5 minutes, stirring occasionally, until mixture is hot. Sprinkle with remaining 1/2 cup cheese and the parsley.