If using bamboo skewers, soak them in water for at least 30 minutes.
Cut the chicken breast, bell peppers, zucchini, and red onion into even pieces.
In a large bowl, mix olive oil, lemon juice, garlic, dill, parsley, sea salt, and black pepper.
Add the chicken pieces and toss until coated.
Cover and marinate for at least 30 minutes.
Add the vegetables to the bowl and toss gently with the marinade.
Thread the chicken, bell peppers, zucchini, and red onion onto skewers.
Heat a grill pan over medium-high heat.
Cook the skewers for 10 to 14 minutes, turning often, until golden and cooked through.
Garnish with fresh parsley and serve with lemon wedges.