In a mixing bowl, combine the cooked chicken, cream cheese, shredded cheddar, garlic, onion powder, black pepper, and parsley if using. Mix until everything is evenly coated and creamy, making sure each bite is flavorful.
Lay a tortilla flat and spoon a generous portion of filling in the center. Leave some space around the edges, fold in the sides, and roll it tightly into a wrap to prevent the filling from spilling out.
Heat olive oil or butter in a non-stick skillet over medium heat. Place the wraps seam-side down, toast for 2-3 minutes until golden, then flip and toast the other side for another 2 minutes for a perfect crispy finish.
Slice the wraps in half and serve warm. I like pairing them with a simple salad or a side of dipping sauce for extra flavor and presentation.