Preheat oven to 425°F (220°C). Season chicken with salt and pepper.
Arrange zucchini on a sheet pan, season with salt and pepper. Mix garlic, oregano, coriander, red-pepper flakes, and oil; pour over chicken and zucchini, tossing to coat.
Roast for 25-30 minutes at 425°F, then increase temperature to 450°F and add cherry tomatoes. Roast for an additional 5-10 minutes until cooked and caramelized.
Remove from oven, drizzle with balsamic vinegar, and sprinkle with basil. Adjust seasoning as needed.
Notes
Use fresh basil for the best flavor and adjust vinegar to taste.