Step 1

In a large skillet, heat 2 tablespoons of the oil over moderate heat. Add the thinly sliced onions. Season them with 1/2 teaspoon of the salt and 1/8 teaspoon of the pepper.

Step 2

Cook, stirring frequently, until the onions are well browned and caramelized, about 15 minutes. Remove the onions from the pan and put on a serving platter or individual plates.

Step 3

In the same skillet, heat the remaining 1 tablespoon oil over moderately high heat. Season the chicken livers with the remaining 1/4 teaspoon salt and 1/8 teaspoon pepper.

Step 4

Put the livers in the pan, in two batches if necessary, and cook for 2 minutes on one side. Turn and cook until browned, about 2 minutes longer. The livers should still be pink inside. Remove the chicken livers from the pan and put them on top of the onions.