In a large bowl, combine the chicken thighs, Greek yogurt, olive oil, lemon zest, lemon juice, garlic, dill, salt, pepper, paprika, and oregano until evenly coated.
Cover and marinate for at least 20 minutes, or refrigerate for several hours for even better flavor.
Prepare the tzatziki by mixing together Greek yogurt, shredded cucumber, dill, parsley, garlic, lemon juice, and salt. Refrigerate until serving.
Preheat your grill to medium-high heat (400°F/200°C).
Toss all vegetables with olive oil, salt, and black pepper.
Place the marinated Grilled Mediterranean Chicken on one side of the grill and the vegetables on the other.
Grill the chicken for 6–8 minutes per side or until the internal temperature reaches 165°F (74°C).
Grill the vegetables until tender with light char marks, turning as needed.
Remove everything from the grill and allow the chicken to rest for several minutes.
Warm the pita on the grill for about 2 minutes per side.
Slice the chicken and roughly chop the vegetables.
Serve with tzatziki, roasted chickpeas, rice or couscous, warm pita, and pickled onions. Finish with extra herbs.