Season the chicken breasts with garlic powder, onion powder, salt, and black pepper.
Heat olive oil in a large skillet over medium-high heat.
Add the chicken breasts and cook for about 5-6 minutes per side, until golden brown and cooked through. Remove chicken and set aside.
In the same skillet, melt the butter and add the minced garlic; sauté for 1 minute until fragrant.
Pour in the chicken broth and bring to a simmer, scraping up any browned bits from the pan.
Add the heavy cream, dried basil (or fresh basil), mozzarella cheese, and Parmesan cheese.
Stir continuously until the cheese is melted and the sauce thickens slightly.
Return the chicken breasts to the skillet and spoon the basil cream sauce over them.
Simmer for another 3-5 minutes to heat through and blend the flavors.
Serve hot, garnished with additional fresh basil if desired.