In a bowl, whisk together the sauce ingredients. Season with salt and pepper to taste. Set aside.

In another bowl, toss the tomatoes, mozzarella, and basil together. Season with salt and pepper to taste. Set aside.

Preheat the oven to 400 degrees F.

In a large oven-safe skillet, heat oil over medium-high. Season the chicken all over with salt and pepper to taste. When the pan is hot and the oil shimmers, add the chicken in a single layer. Cook for 1-2 minutes on each side until lightly golden brown. Add the balsamic sauce mixture. It should start to simmer quickly. Use a wooden spoon to scrape up any browned bits from the bottom of the pan.

Remove the pan from the heat and distribute the tomato mozzarella mixture over the chicken.

Bake uncovered for 18-23 minutes until the chicken is fully cooked. The internal temperature should register at 165F. Remove from the oven and let rest for 5 minutes before serving.