Season both sides of the chicken breasts with salt and pepper.
In a large skillet, heat olive oil over medium-high heat. Add the chicken breasts and cook for about 6-7 minutes on each side, or until cooked through and golden brown. Remove the chicken from the skillet and set aside.
In the same skillet, reduce heat to medium and add minced garlic. Sauté for about 1 minute until fragrant, being careful not to burn it.
Add the sun-dried tomatoes, heavy cream, chicken broth, oregano, and basil to the skillet. Stir well and let the sauce simmer for about 5 minutes, until slightly thickened.
Mix in the grated Parmesan cheese and stir until melted and combined. Return the chicken to the skillet, coating it in the creamy sauce. Cook for an additional 2-3 minutes until heated through.
Meanwhile, cook the ravioli in a pot of boiling salted water according to package instructions, until al dente. Drain and set aside.
Serve the chicken over a bed of ravioli, spooning the creamy sauce over the top. Garnish with fresh basil leaves if desired.