Cut the Chicken: Slice the chicken into thin, even pieces.
Prepare the Chicken Marinade: In a large bowl, mix the Greek yogurt, lemon juice, lemon zest, olive oil, minced garlic, salt, paprika, cumin, oregano, coriander, and black pepper. Add the chicken breasts to the marinade, ensuring they are fully coated. Cover and refrigerate for at least 2 hours, or overnight for the best flavor.
Bake the Chicken: Preheat your oven to 350°F (175°C). Place the marinated chicken breasts on a baking sheet and bake for 30 minutes, or until the internal temperature reaches 165°F (74°C). Once cooked, let the chicken rest for 5 minutes, then slice into thin strips.
Make the Tzatziki Sauce: While the chicken is baking, prepare the tzatziki sauce. Start by grating the cucumbers and sprinkling them with salt. Let them sit for 10 minutes, then squeeze out the excess water. In a bowl, mix the cucumbers, minced garlic, white vinegar, olive oil, Greek yogurt, and chopped dill until well combined. Set aside.
Make the Greek Salad: Combine halved cherry tomatoes, sliced cucumbers, feta cheese, olive oil to make a salad.
Assemble the Gyros: Warm the pita bread, then layer on the sliced chicken and the greek salad. Drizzle generously with tzatziki sauce. Wrap up the pita and enjoy!