Preheat oven to 375°F.
Heat a large sauté pan over medium-high heat.
Add oil and when it just starts to smoke, add chicken.
Sear it until it is well browned, flip and sear the other side.
Place browned chicken in a 9" x 13" baking pan.
Spoon the salsa over the breasts.
Sprinkle the cheddar over top and bake for 15-20 minutes, until chicken is cooked through and cheese has melted.
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