In a bowl, whisk together olive oil, garlic, lemon juice, vinegar, oregano, cumin, salt, and pepper.
Cut chicken into bite-sized pieces and toss well in the marinade. Cover and marinate for at least 30 minutes.
Heat a skillet over medium-high heat and cook the chicken for 5–7 minutes per side until golden and cooked through.
Prepare the rice or cauliflower rice according to package directions and divide into serving bowls.
Assemble your Delicious Greek Chicken Gyro Bowls by layering rice, chicken, cucumbers, tomatoes, onions, olives, and feta.
Garnish with fresh parsley and serve immediately.