Heat olive oil in a large non-stick skillet over medium-high heat.
Add chicken cubes to the skillet and season with salt, pepper, and dried oregano.
Sauté chicken for 6 to 8 minutes or until cooked through and lightly browned on all sides.
Add minced garlic to the skillet and cook for 1 minute until fragrant, then remove from heat.
Lay tortillas flat on a clean surface and spread 1 tablespoon of garlic aioli onto the center of each.
Divide the fresh spinach evenly among the tortillas.
Distribute the warm garlic chicken over the spinach.
Top the chicken with shredded mozzarella cheese while the meat is still hot to facilitate melting.
Fold in the sides of each tortilla and roll tightly to form a wrap.
Optional: Place the assembled wraps back in the skillet for 1 minute per side to toast the exterior and ensure the cheese is fully melted.