Slice the chicken breast into thin strips. In a bowl, combine the chicken with the Greek yogurt, lemon juice, minced garlic, olive oil, oregano, smoked paprika, salt, and pepper. Marinate for at least 30 minutes.
In a skillet over medium heat, cook the marinated chicken for 6-8 minutes, or until golden brown and cooked through.
Slice the tomatoes, cucumber, and red onion into thin rounds.
Shred the iceberg lettuce and crumble the feta cheese.
Warm the pita bread in a skillet or oven until slightly soft and pliable.
Place the cooked chicken strips, fresh vegetables, and feta cheese inside the warm pita bread.
Generously drizzle with garlic tzatziki sauce and roll up the pita to create a wrap.
Serve immediately. Best enjoyed warm.
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