Season the chicken with salt and freshly ground black pepper to taste and place in a medium bowl or large zip top bag.
Add the lemon juice, olive oil, garlic and oregano, then toss the chicken in the marinade until well coated. Marinate for a minimum of 2 hours or overnight.
About 1-2 hours before cooking time, remove the chicken from the refrigerator and skewer onto the wooden or metal skewers and let stand at room temperature. The chicken will cook more evenly when it's grilled at room temperature.
Preheat the grill to medium high heat. Reduce the heat to medium and grill the chicken for about 3 minutes on each side or until grill marks form. Remove from heat and serve with lemon wedges. Enjoy!