Preheat your oven to 400°F (200°C).
Season the chicken breasts with 1/4 teaspoon kosher salt and 1/4 teaspoon black pepper on both sides.
In a mixing bowl, combine the beaten eggs and grated Parmesan cheese. Mix well until evenly distributed.
Dip each seasoned chicken breast into the egg and Parmesan mixture, coating fully.
Slice the zucchini, yellow squash, and garlic. Halve the cherry tomatoes and set aside.
Drizzle 2 tablespoons of olive oil on a large sheet pan. Spread the sliced zucchini, yellow squash, and garlic evenly. Add the halved cherry tomatoes on top.
Nestle the coated chicken breasts among the vegetables on the sheet pan. Sprinkle remaining salt, pepper, and fresh thyme leaves over everything.
Bake in the preheated oven for 25-30 minutes, until chicken is cooked through and vegetables are tender and caramelized.
Remove from oven and let rest a few minutes before serving. Enjoy as is or with rice or quinoa.