This Greek-style sheet pan chicken is an easy, healthy meal of spice-rubbed roasted vegetables and boneless chicken breasts served alongside a cooling homemade tzatziki sauce.
In a medium bowl, combine the yogurt, grated cucumber, white wine vinegar, olive oil, dill, garlic, and salt. Whisk well to combine. Refrigerate until ready to use. The tzatziki can be made up to 1 day ahead.
Make the spice mix
In a small bowl, combine the oregano, basil, thyme, lemon zest, salt, garlic powder, and pepper. Divide the spice mixture in half.
Make the chicken and vegetables
Preheat the oven to 425ºF (218°C) with racks in the upper and lower thirds of the oven. Line 2 rimmed baking sheets with aluminum foil and coat with nonstick cooking spray.
☞ TESTER TIP: If you have a very large baking sheet, you may be able to fit everything on one sheet without crowding, however, the vegetables may take longer to cook than the chicken.
In a large bowl, toss the chicken breasts with 1 tablespoon of the olive oil and half the spice mixture. Spread the chicken out on one of the prepared baking sheets.
In another large bowl, toss together the potatoes, red peppers, zucchini, diced tomatoes, the remaining tablespoon of olive oil, and the remaining spice mix. Arrange the vegetables in a single layer on the second baking sheet.
Scatter the lemon slices and garlic slices throughout the pan of vegetables. Bake until the chicken is cooked through and registers an internal temperature of 165°F (74°C), and the vegetables are tender, 25 to 40 minutes. If the chicken is cooked through before the vegetables are done, remove the chicken from the oven and cover with foil to keep warm.
Combine the chicken and vegetables and top with feta cheese and olives. Serve with tzatziki sauce.