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In 12-inch nonstick skillet, heat butter over medium heat until melted; add garlic. Cook and stir constantly about 1 minute or until fragrant. Add broth, pasta, salt and pepper; heat to boiling. Reduce heat to medium. Cook uncovered 12 to 14 minutes, stirring occasionally, until pasta is al dente and most of liquid is absorbed.
Stir in whipping cream and Parmesan cheese; cook over medium-high heat 2 to 3 minutes, stirring frequently, until bubbly. Stir in chicken and frozen sweet peas; cook 2 to 3 minutes, stirring occasionally, until thoroughly heated through.
Let stand 5 minutes before serving. Garnish with parsley.