In a large bowl, whisk together olive oil, lemon juice, minced garlic, oregano, thyme, salt, and pepper.
Add the cubed chicken to the marinade and toss to coat evenly. Cover and refrigerate for at least 30 minutes, or up to 4 hours.
Preheat your grill to medium-high heat, or preheat your oven to 400°F (200°C).
Thread the marinated chicken onto the soaked wooden skewers, leaving a small space between each piece.
Grill the skewers for 8-10 minutes, turning occasionally, until cooked through and lightly browned.
Alternatively, bake the skewers in the preheated oven for 15-20 minutes, turning halfway through, until cooked through.
Serve hot, perhaps with a side of Greek salad or tzatziki sauce.
Notes
These skewers are incredibly versatile. You can add vegetables like bell peppers and red onion to the skewers before grilling for added color and flavor.