Cook the chicken:
Heat olive oil in a large skillet over medium heat.
Season the chicken strips with salt, pepper, and Italian seasoning.
Add the chicken to the skillet and cook for 5-7 minutes, stirring occasionally, until the chicken is cooked through and golden brown. Remove the chicken from the skillet and set it aside.
Make the garlic sauce:
In the same skillet, melt the butter over medium heat.
Add the minced garlic and sauté for 1-2 minutes, until fragrant.
Pour in the heavy cream and bring to a simmer. Stir in the Parmesan cheese and cook for 3-4 minutes until the sauce has thickened slightly.
Add the cooked chicken back into the skillet, tossing to coat in the creamy garlic sauce. Let it cook for another 1-2 minutes to heat through.
Adjust seasoning with salt, pepper, and red pepper flakes, if using.
Assemble the wraps:
Warm the tortillas in the microwave for 15-20 seconds to make them more pliable.
Lay the tortillas flat on a clean surface. Divide the cheesy garlic chicken mixture evenly among the tortillas.
Sprinkle mozzarella cheese over the chicken mixture.
Wrap the tortillas:
Fold in the sides of each tortilla and roll it up tightly to form a wrap. If desired, you can secure the wrap with toothpicks to hold it together.
Grill the wraps (optional):
Heat a non-stick skillet or grill pan over medium heat. Add the wraps to the pan and cook for 2-3 minutes on each side until golden brown and crispy, pressing down gently with a spatula to seal them.
Serve:
Remove the wraps from the skillet and slice them in half. Garnish with fresh parsley, if desired.
Serve with a side salad or your favorite dipping sauce.