In a medium mixing bowl, whisk together the olive oil, minced garlic, dried oregano, salt, and black pepper until emulsified.
Add the chicken cubes to the bowl and toss thoroughly to ensure even coating; let marinate for 10 minutes.
Thread 5 to 6 chicken cubes onto each pre-soaked wooden skewer, ensuring pieces are touching but not compressed.
Preheat a grill or oven-safe grill pan to medium-high heat (approximately 400 degrees Fahrenheit).
Place skewers on the heat source and cook for 6 to 7 minutes per side, or until the internal temperature reaches 165 degrees Fahrenheit.
Remove the skewers from the heat and immediately dredge or sprinkle with grated parmesan cheese while the protein is hot to allow for slight melting and adhesion.
Garnish with chopped parsley and serve immediately.