In a large skillet, heat olive oil over medium-high heat.
Season chicken pieces with salt, pepper, and garlic powder.
Add chicken to the skillet and cook until browned and cooked through, approximately 6 to 8 minutes.
Add minced garlic and butter to the skillet; sauté for 1 to 2 minutes until fragrant and the chicken is well coated.
Lay out flour tortillas on a flat surface and spread a layer of garlic aioli in the center.
Distribute the garlic chicken evenly across the tortillas.
Top the chicken with shredded cheddar cheese.
Fold the sides of the tortillas inward and roll tightly to form a wrap.
Wipe the skillet clean and heat over medium heat. Place wraps seam-side down and toast for 1 to 2 minutes per side until golden brown and cheese is melted.
Serve warm.