Melt butter over medium heat, cook minced garlic 1 minute, whisk in flour and cook another minute to make a roux.
Gradually whisk in milk and heavy cream, stirring 3–4 minutes until the sauce thickens and becomes smooth.
Stir in cheddar cheese, crumbled bacon, ranch dressing, green onions, salt, pepper, and parsley until melted and creamy.
Add shredded chicken and mix until fully coated with the cheesy ranch sauce.
Spoon filling into tortillas, fold the sides in, and roll tightly into wraps.
Toast wraps in a skillet 2–3 minutes per side until golden and crispy.
Slice wraps in half and serve warm with extra ranch dressing if desired.