Heat olive oil in a large skillet over medium heat.
Add minced garlic and sauté for about 1 minute until fragrant.
Add chicken strips to the skillet, season with oregano, salt, and pepper, and cook until the chicken is browned and cooked through, about 6-8 minutes.
Reduce the heat to low and sprinkle the mozzarella cheese over the chicken.
Cover the skillet and let the cheese melt, about 2-3 minutes.
Warm the low-carb tortillas in a separate pan or microwave.
Place a portion of the cheesy garlic chicken onto each tortilla.
Sprinkle with fresh parsley, wrap tightly, and serve immediately.
