Prepare Garlic Butter: In a small bowl, mix softened butter, minced garlic, and dried parsley. Set aside.
Cook Chicken: Heat a large skillet over medium heat. Add garlic butter mixture and let melt. Add chicken pieces, season with salt and pepper, and cook 6-8 minutes, stirring frequently, until chicken is golden and cooked through.
Mix Cheeses: In a bowl, combine mozzarella, cheddar, and Parmesan cheeses.
Assemble Wraps: Place tortillas on a flat surface. Divide cooked chicken among tortillas, placing in center. Top with cheese mixture. Fold in sides of tortilla, then roll tightly from bottom to top.
Cook Wraps: In the same skillet over medium heat, place wraps seam-side down. Cook 2-3 minutes until golden. Flip carefully and cook 2-3 minutes more until crispy and cheese is melted.
Serve: Let rest 2-3 minutes, then slice in half and serve warm.