- Preheat your oven to 375°F (190°C). 
- Season the chicken breasts with olive oil, salt, and black pepper on both sides. 
- In a large oven-safe skillet, heat over medium-high heat. Add the seasoned chicken and sear for about 5-6 minutes on each side until golden brown. Remove the chicken from the skillet and set aside. 
- In the same skillet, reduce the heat to medium and add the heavy cream, basil pesto, and Parmesan cheese. Stir well to combine and let it simmer for 2-3 minutes until slightly thickened. 
- Add the cherry tomatoes to the skillet and stir to combine. 
- Return the chicken to the skillet, spooning some of the sauce over the top. 
- Transfer the skillet to the preheated oven and bake for 20-25 minutes, or until the chicken is cooked through (internal temperature should reach 165°F). 
- Remove from the oven and let it rest for a few minutes. Garnish with fresh basil before serving.