Season the chicken breasts on both sides with salt and pepper.
Heat olive oil in a large non-stick skillet over medium-high heat. Add the chicken and cook until golden on both sides, about 10 minutes per side. Remove and set aside.
In the same skillet, add the sun-dried tomatoes and garlic. Cook for about 2 minutes until fragrant.
Stir in the basil, oregano, and thyme and cook for a few seconds.
Pour in the chicken broth and bring to a simmer. Let it cook for about 5 minutes to slightly reduce.
Lower the heat and stir in the heavy cream and Parmesan cheese until smooth and creamy.
Return the chicken to the skillet, nestling it into the sauce. Cover and simmer for 10–12 minutes, until the chicken is cooked through and the sauce has thickened.
Sprinkle with fresh parsley and serve warm.