In 4-quart Dutch oven, heat olive oil over medium-high heat. Season chicken with salt and pepper; cook 5 to 7 minutes, stirring frequently, until chicken is no longer pink. Add garlic; cook 30 to 60 seconds, stirring constantly, until fragrant.
Add chicken broth, lemon juice, spaghetti and capers; heat to boiling. Reduce heat to medium; simmer 10 to 12 minutes, stirring occasionally, until most of liquid is absorbed and pasta is al dente. Stir in whipping cream; cook just until heated through. Stir in grated lemon peel; serve warm. Garnish with parsley.
