Step 1Combine the zest, juice, apricots and sugar in a small saucepan and bring to a boil over medium heat. Reduce the heat and simmer, uncovered, to develop the flavors, about 5 minutes (it will not thicken). Remove the pan from the heat.
Step 2Meanwhile, use a sharp paring knife to remove the rinds from the oranges. Cut the oranges crosswise into 1/8-inch-thick slices. Lay the slices in a quiche-style baking dish. Ladle the hot juice over them. (The compote can be served immediately or refrigerated overnight. Bring to room temperature before serving.) Serve in shallow soup plates, divided evenly with sauce over each.