Rinse chicken breasts and pat dry. Sprinkle with 1/4 teaspoon salt and 1/4 teaspoon pepper. Dip chicken breasts in eggs. Allow excess egg to drip off. Place an even layer of parmesan on a plate.
Press breasts into parmesan on each side, until coated.
Toss zucchini, squash, garlic, and cherry tomatoes, and thyme in olive oil and spread on the bottom of a 13 x 9-inch baking dish. Top with chicken breasts.
Bake for 35 to 40 minutes or until chicken is done and reaches 165 degrees. Serve chicken on the side or over the top of vegetables.