Prepare the chicken: Pat the chicken breasts dry. If they are very thick, gently pound them to an even thickness. Season both sides with salt, black pepper, Italian seasoning, and paprika.
Sear the chicken: Heat olive oil and 1 tablespoon butter in a large skillet over medium-high heat. Add the chicken and cook for about 4–5 minutes per side, until golden brown and nearly cooked through. Transfer to a plate.
Cook the garlic: Reduce the heat to medium. Add 1 tablespoon butter to the same skillet, followed by the minced garlic. Cook for 30 seconds to 1 minute until fragrant.
Add broth and cream: Pour in the chicken broth and scrape the browned bits from the bottom of the skillet. Add the heavy cream and stir until combined.
Add Parmesan: Reduce the heat to low. Gradually stir in the grated Parmesan until melted and the sauce becomes creamy. Add Italian seasoning, black pepper, and salt to taste.
Finish the chicken: Return the chicken to the skillet and spoon the sauce over the top. Simmer gently for several minutes until the chicken is completely cooked and reaches an internal temperature of 165°F (74°C).
Garnish and serve: Remove from the heat and sprinkle with fresh parsley. Serve warm with pasta, rice, mashed potatoes, vegetables, or crusty bread.