Bring a large pot of salted water to a boil. Add pasta and cook until al dente according to package directions. Drain and set aside, reserving a small cup of pasta water.
Pat chicken breasts dry and season both sides with salt, pepper, and Italian seasoning.
Heat a skillet over medium heat and melt 2 tablespoons of butter. Once foaming, add the chicken. Cook for 6 to 7 minutes per side until golden and internal temperature reaches 165°F. Remove chicken and let rest for 5 minutes.
In the same skillet, reduce heat to medium-low and melt the remaining 1 tablespoon of butter. Add minced garlic and sauté until fragrant, about 30 to 45 seconds.
Pour in the heavy cream and stir, bringing to a gentle simmer. Cook until slightly thickened, about 2 to 3 minutes. Adjust seasoning with salt and pepper.
Slice the rested chicken and return the pasta and chicken to the skillet. Toss gently until coated in the sauce. Heat together for a minute.
Serve immediately with extra Italian seasoning or Parmesan if desired.
Notes
Store leftovers in an airtight container in the refrigerator for up to 3-4 days. Reheat gently with a splash of cream or milk.