Prepare the Tzatziki sauce: In a medium bowl, combine Greek yogurt, grated cucumber, chopped dill, lemon juice, olive oil, kosher salt, and ground black pepper.

Add 1-2 tablespoons of water to thin the sauce to your desired consistency.

In a large bowl, mix ground turkey, chopped kalamata olives, parsley, dried oregano, minced garlic, 1/2 cup crumbled feta cheese, salt, and pepper.

Divide the mixture into 4 equal portions and shape each portion into a burger patty.

Warm olive oil in a large nonstick skillet over medium heat.

Fry the turkey patties until cooked through, about 4 minutes per side, or until the internal temperature reaches 165°F (74°C).

To assemble the burgers, open a pita bread and layer with lettuce leaves, tomato slices, and red onion slices.

Place a cooked turkey patty on top of the vegetables.

Garnish with the remaining crumbled feta cheese and a dollop of tzatziki sauce.

Serve immediately.