1. Place oven rack in lower third of oven and heat oven to 450°F.
2. Place tortillas on a baking sheet. Arrange chicken on top, leaving a 1-inch border. Top each with half of the asparagus, sprinkle each with half the goat cheese, and drizzle with 1 tablespoon oil.
3. Bake until the edges are lightly browned and cheese is melted and golden, 10 to 15 minutes. Cut each tortilla into quarters and serve warm.