Preheat your air fryer to 375°F (190°C).
Rub the chicken breasts with olive oil, thyme, rosemary, salt, and pepper.
Place the seasoned chicken in the air fryer basket and cook for 12-15 minutes, or until the internal temperature reaches 165°F (75°C).
While the chicken is cooking, prepare the sauce by combining heavy cream, Dijon mustard, and a pinch of salt in a small saucepan over medium heat. Stir until heated through.
Once the chicken is cooked, remove it from the air fryer and let it rest for a few minutes before slicing.
Serve the sliced chicken drizzled with the creamy herb sauce and garnish with fresh parsley.