Preheat the oven to 400°F (200°C).
Prepare a dredging station with flour in one bowl, beaten eggs in another, and a mixture of breadcrumbs and Parmesan cheese in a third.
Season the chicken breasts with salt and pepper, then dredge them in flour, dip in egg, and coat in the breadcrumb and cheese mixture.
In a large skillet, heat olive oil over medium heat. Add the chicken breasts and cook until golden brown, about 3-4 minutes per side.
Transfer the chicken to a baking dish. Spoon tomato sauce over each breast. Tear the burrata and distribute evenly on top.
Sprinkle cherry tomatoes around the chicken in the baking dish.
Bake in the preheated oven for 15-20 minutes, or until the chicken is cooked through and the cheese is bubbly.
Garnish with fresh basil leaves before serving.