Creamy Garlic Chicken Breasts

Acquire all necessary components.

Preheat a large outdoor cooking device to medium-high heat and lightly apply a thin layer of oil to its surface.

Sprinkle dried oregano, fresh basil leaves, salt, and ground pepper evenly onto both sides of chicken breast fillets.

Place the seasoned chicken on the preheated grill and cook until it reaches a safe internal temperature, indicated by the absence of pink color in the center and clear juices, approximately 5 to 6 minutes per side. Use a food thermometer inserted into the thickest part of the breast to verify it has reached at least 165 degrees Fahrenheit (74 degrees Celsius). Remove the chicken from the grill and keep it warm until serving.

Simultaneously, heat butter and oil in a saucepan over medium heat until the butter has fully melted. Introduce minced garlic into the saucepan and cook for about 2 minutes, or until its aroma is released. Combine flour into the saucepan and stir until it is fully incorporated, taking approximately 1 minute.

Gradually whisk in heavy cream and chicken broth; cook the mixture over medium heat, stirring constantly until it thickens, taking 3 to 5 minutes. Add grated Parmesan cheese and softened cream cheese; cook the mixture, stirring occasionally, until both have fully melted, approximately 5 minutes.

Spoon the prepared sauce over the cooked chicken breasts and serve the remaining sauce on the side.