Preheat your oven to 425°F (220°C).
In a bowl, combine the shredded chicken and tzatziki sauce until the chicken is well coated.
Place the pizza crust on a baking sheet or pizza stone. Brush the crust lightly with olive oil.
Spread the tzatziki chicken mixture evenly over the pizza crust.
Sprinkle the shredded mozzarella cheese over the chicken mixture.
Evenly distribute the cherry tomatoes, red onion, and Kalamata olives on top of the cheese.
Sprinkle dried oregano over the toppings for added flavor.
Bake in the preheated oven for 12-15 minutes, or until the cheese is melted and bubbly and the crust is golden brown.
Remove from the oven and let cool for a few minutes. Garnish with fresh dill or parsley if desired.
Slice and serve warm.