Step 1

Preheat oven to 425 degrees. Lightly season chicken on both sides with salt and pepper. Heat a large skillet over medium-high. Add oil and chicken; cook, flipping once, until browned, about 10 minutes. Transfer to a plate and let cool slightly; shred with two forks.

Step 2

Divide 1/4 cup salsa among four 6-inch, 1 1/2-cup shallow baking dishes. Layer in 12 tortilla quarters, another 1/2 cup salsa, half of shredded chicken, and 3/4 cup cheese, dividing evenly among dishes. Repeat layering. Finish with remaining 12 tortilla quarters, followed by remaining salsa and cheese.

Step 3

Place dishes on a rimmed baking sheet. Bake until bubbly and tops are golden brown in spots, 15 to 20 minutes. Let cool slightly before serving, with accompaniments.