Start by seasoning the chicken breasts with salt and black pepper. In a large skillet, heat olive oil over medium-high heat. Add the chicken and cook for about 6-7 minutes on each side, or until cooked through and golden brown. Remove from the skillet and set aside.
In the same skillet, add minced garlic and red pepper flakes. Sauté for about 1 minute until fragrant, being careful not to burn the garlic.
Pour in 1/2 cup of chicken broth and scrape up any browned bits from the bottom of the skillet. Stir in the heavy cream, cherry tomatoes, and lemon juice. Bring the mixture to a simmer.
Return the chicken to the skillet, spooning the sauce over it. Let it simmer for an additional 5 minutes to heat through and allow the flavors to meld. Stir in chopped parsley before serving.
While the chicken is simmering, prepare the garlic Parmesan rice. In a medium saucepan, bring 2 cups of chicken broth to a boil. Add the rice and reduce heat to low. Cover and simmer for about 18-20 minutes, or until the rice is tender and the liquid is absorbed.
Once the rice is cooked, stir in butter and grated Parmesan cheese until well combined.
Serve the chicken scampi over a bed of garlic Parmesan rice, drizzling extra sauce from the skillet on top.