Lay out the tortillas on a flat surface.
Spread shredded chicken and avocado slices evenly over half of each tortilla.
Sprinkle cheese on top, then season with salt and pepper.
Fold the tortilla in half to cover the filling.
Heat olive oil in a skillet over medium heat.
Cook each quesadilla for 2 to 3 minutes per side, until golden brown and the cheese has melted.
Remove from skillet, slice into wedges, and serve warm with salsa, sour cream, or lime wedges.