Prepare the Chicken: Season the chicken breasts with salt and pepper.
Cook the Chicken: In a large skillet, heat olive oil over medium heat. Add the chicken breasts and cook them until they are golden brown and cooked through (about 6-7 minutes on each side). Remove the chicken from the skillet and set aside.
Make the Sauce: In the same skillet, add the heavy cream and pesto sauce. Stir to combine and bring to a simmer.
Combine: Return the chicken to the skillet and coat it with the creamy pesto sauce. Cook for an additional 2-3 minutes to heat everything through.
Serve: Plate your creamy pesto chicken and garnish with freshly grated Parmesan cheese and basil. Enjoy!