Add penne noodles to a large stock pot and cover noodles with water. Bring to a boil over medium-high heat. Boil for 7-9 minutes until tender. Drain and set aside.

Stir together flour, salt, and pepper. Dredge chicken breasts in the flour mixture to coat both sides.

Melt 1 tablespoon butter in a large skillet over medium heat. Add chicken and cook on both sides 4-5 minutes until chicken is cooked through and browned on the outside. Transfer chicken to a cutting board and slice into strips or 1-inch cubes.

Chop asparagus into 2-inch pieces. Add remaining butter to skillet and melt over medium heat. Add garlic, mushrooms, and asparagus and stir over medium heat 4-6 minutes until mushrooms and asparagus are tender.

Stir in penne noodles and chicken and stir till noodles are heated. Stir in parmesan cheese. Serve hot.