Pat the chicken breasts dry with paper towels. If they are thick, pound them to an even thickness.
In a small bowl, combine the Italian seasoning, garlic powder, paprika, salt, and black pepper.
Rub the chicken breasts with olive oil and season both sides evenly with the spice mixture.
Heat a large skillet over medium-high heat. Cook the chicken for 5 to 6 minutes per side until golden brown. Remove the chicken from the skillet and set aside.
Reduce the heat to medium and melt the butter in the same skillet. Add the minced garlic and cook for about 30 seconds until fragrant.
Stir in the chicken broth, heavy cream, and basil pesto until well combined.
Add the Parmesan cheese and stir until melted and the sauce becomes smooth.
Return the chicken breasts to the skillet and spoon the creamy pesto sauce over the top.
Simmer for 3 to 5 minutes, or until the chicken reaches an internal temperature of 165°F (74°C).
Let the chicken rest for 5 minutes before serving. Garnish with fresh basil or parsley if desired.