In a bowl, whisk together olive oil, lemon juice, minced garlic, oregano, salt, and pepper.
Add chicken pieces to the marinade, ensuring they are well coated. Let them marinate for at least 20 minutes.
Preheat the grill or grill pan to medium-high heat.
Thread marinated chicken onto wooden skewers.
Grill the skewers for about 5 minutes on each side, or until the chicken is cooked through and has a nice char.
While the chicken is grilling, prepare the tzatziki sauce. Combine grated cucumber, Greek yogurt, minced garlic, chopped dill, salt, and pepper.
Serve the grilled Chicken Souvlaki Skewers with a side of Tzatziki Sauce.
