01 - In a large mixing bowl, whisk together the olive oil, lemon zest, lemon juice, minced garlic, Greek yogurt, dried oregano, dried thyme, salt, black pepper, smoked paprika (if using), and chopped fresh parsley until well combined.
02 - Add the chicken pieces to the marinade and toss thoroughly to ensure even coating. Cover the bowl with plastic wrap and refrigerate for 1 to 4 hours to allow the flavors to penetrate the meat.
03 - If using wooden skewers, submerge them in water for at least 30 minutes prior to grilling to prevent burning.
04 - Thread the marinated chicken pieces onto skewers, alternating with bell pepper, red onion, and zucchini pieces if desired, leaving a small gap between each item for even cooking.
05 - Preheat an outdoor grill or grill pan over medium-high heat. Lightly oil the grates to prevent sticking.
06 - Place the kabobs on the grill and cook for 12 to 15 minutes total, turning every 3 to 4 minutes, until the chicken is cooked through to an internal temperature of 165°F and lightly charred on all sides.
07 - Transfer the grilled kabobs to a serving platter, garnish with additional fresh parsley, and serve immediately with lemon wedges alongside tzatziki, pita, or a fresh Greek salad.