Season the chicken breasts with salt and pepper and add them to the skillet. Cook until golden brown and cooked through, about 6 to 7 minutes per side. Remove chicken and slice.
In the same skillet, add the heavy cream and bring to a simmer. Stir in the grated Parmesan cheese until melted and smooth.
Add the cooked rigatoni and sliced chicken to the sauce, tossing to coat evenly. Cook for an additional 2 to 3 minutes to heat through.
Garnish with fresh parsley and serve immediately.
Notes
Pound chicken to an even thickness for consistent cooking, and do not overheat the sauce to maintain smoothness.