Sauté garlic by melting 1 tablespoon butter in a skillet over medium heat. Add minced garlic and cook for 30 seconds until fragrant.
Season chicken by adding it to the skillet with garlic powder, Italian seasoning, salt, and pepper. Stir for 2 minutes to warm through, then remove from heat.
Make cheese mixture by combining cream cheese, sour cream, and half the shredded cheese in a bowl. Mix until smooth, then fold in the seasoned chicken.
Assemble wraps by dividing filling among tortillas, placing it down the center. Sprinkle remaining cheese on top, fold sides in, then roll tightly.
Cook wraps by brushing remaining butter on each wrap. Place seam-side down in a hot skillet and cook 2-3 minutes per side until golden brown and cheese melts.
Serve immediately by cutting wraps in half diagonally. Garnish with fresh parsley if desired.
