Preheat your oven to 400°F (200°C).
Place the naan breads on a baking sheet and brush each with olive oil.
Spread 1/2 cup of tzatziki sauce evenly over each naan.
Top each naan with shredded chicken, cherry tomatoes, cucumber, red onion, and mozzarella cheese.
Sprinkle dried oregano, salt, and pepper over the toppings.
Bake in the preheated oven for 10-12 minutes, or until the cheese is melted and bubbly.
Remove from the oven and let cool for a couple of minutes. Garnish with fresh dill if desired.
Slice and serve warm.