Cook farfalle with tablespoon salt to 1 minute short of package time. Reserve 1 cup pasta water; drain.
Meanwhile, season chicken with its salt and pepper. Heat 1 tablespoon oil in large skillet; cook chicken 7 to 8 minutes until browned and at least 165°F. Plate.
Reduce to medium-low; add remaining oil and garlic. Cook 2 to 3 minutes until pale golden; add broth and peas. Simmer 2 minutes.
Return chicken with pasta and 1/2 cup reserved water. Toss 1 to 2 minutes until pasta tender and peas hot.
Remove from heat; gradually add Parmesan, loosening with pasta water if needed for smooth light coating. Serve immediately.