Pat chicken breasts dry with paper towels. Season both sides with kosher salt and black pepper. Slice in half horizontally if very thick.
Heat olive oil in large skillet over medium-high heat. Add chicken and cook 8-10 minutes per side until golden brown. Remove to plate.
Add splash of sun-dried tomato oil to skillet. Saute grated garlic over medium-high heat for 30 seconds until golden and fragrant, stirring constantly.
Add heavy cream, chicken broth, chopped sun-dried tomatoes, basil, dried thyme, dried oregano, grated parmesan, and chili flakes. Mix with wooden spoon until parmesan melts and sauce is smooth.
Return chicken to sauce and spoon sauce over top. Cover with lid and simmer over medium-low heat for 10 minutes until chicken reaches 165°F and sauce thickens.
Garnish with fresh basil or parsley. Serve immediately while hot.
Notes
Use meat thermometer to ensure chicken reaches 165°F internal temperature.
Do not substitute heavy cream with milk or low-fat cream for best creamy texture.
Let chicken cook undisturbed for 5 minutes before flipping to form proper crust.
For thick chicken breasts, finish in oven at 420°F for 10-15 minutes after searing.
Freshly grate parmesan cheese yourself rather than using pre-grated for better melting.