In a medium mixing bowl, combine the cooked chicken, diced avocado, shredded cheese, sour cream, chopped cilantro, and lime juice.
Stir gently until everything is evenly mixed while keeping the avocado in small chunks.
Lay one tortilla flat on a clean work surface.
Spoon a portion of the filling into the center of the tortilla.
Fold in the sides, then roll tightly to create a secure wrap.
Repeat with the remaining tortillas and filling.
Heat the oil in a large skillet or griddle over medium-high heat.
Place the wraps seam-side down in the skillet.
Cook for 1 to 2 minutes until golden brown and crispy.
Flip and cook for another minute or until both sides are crispy and the cheese has melted.
Serve the Crispy Chicken Avocado Wraps immediately with salsa, extra sour cream, or your favorite dipping sauce.