Preheat your oven to 400°F (200°C).
In a bowl, combine the Greek yogurt, diced cucumber, dill, lemon juice, garlic powder, salt, and black pepper. Mix well to create the tzatziki sauce.
Place the naan breads on a baking sheet. Drizzle a little olive oil over each naan.
Spread a generous layer of the tzatziki sauce over each naan.
Top the naan with shredded chicken, cherry tomatoes, and crumbled feta cheese.
Bake in the preheated oven for 10-12 minutes, or until the naan is crispy and the cheese is slightly melted.
Remove from the oven and let cool for a minute before slicing. Serve warm.