Begin by seasoning the chicken breasts with salt, pepper, and garlic powder on both sides.
In a large skillet, heat the olive oil over medium heat. Once hot, add the chicken breasts and cook for about 6-7 minutes on each side, or until they are golden brown and cooked through. Remove the chicken from the skillet and set aside.
In the same skillet, add the chicken broth and bring to a simmer, scraping up any browned bits from the bottom of the pan.
Reduce the heat to low and stir in the heavy cream, chopped basil, and lemon juice. Allow the sauce to simmer for about 3-4 minutes until it thickens slightly.
Stir in the grated Parmesan cheese until melted and well combined.
Return the chicken to the skillet, coating it with the basil cream sauce. Cook for an additional 2-3 minutes to heat through.
Serve the chicken with the sauce drizzled over the top, and garnish with extra basil if desired.