As the sauce cools, make the garlic parmesan fries. In a small saucepan under medium heat, melt the butter (3 tablespoons). Mix in the minced garlic and cook the garlic butter mixture for 1 minute. Remove from the heat.
In a large mixing bowl, add the cooked fries, garlic butter, fresh parsley (3 tablespoons) and parmesan cheese (3 tablespoons). Give the mixture a good mix to combine. Set aside.
In a large pan or skillet under low heat, lightly warm up both sides of the tortillas and transfer to a large plate. This will help make the tortillas more pliable to fold into a wrap.
On a clean work surface, place down a flour tortilla. Spread 2 to 3 tablespoons of the garlic parmesan sauce onto the center of the tortilla. Sprinkle over some mozzarella cheese, about 2 to 3 tablespoons.
Place down a layer of the cooked chicken and then a layer of the garlic parmesan fries (about 8 to 10 fries). Add a drizzle of the garlic parmesan sauce over the fries and some fresh parsley.
Fold the bottom and outer edges of the tortilla over the fillings to close and form a wrap. Secure the wrap in a piece of parchment paper (optional) and transfer to a large plate. Repeat process with the remaining ingredients for a total of (4) wraps.
Before serving, the wraps can be toasted in a lightly greased pan over medium heat (optional).
Garnish the wraps with an extra drizzle of the garlic parmesan sauce and a sprinkling of freshly parsley and parmesan.
Serve wraps with any remaining garlic parmesan fries and sauce. Enjoy!