Phoenicia Diner's Breakfast Skillet

In a small cast-iron skillet, heat the butter until it starts to foam. Add the eggs, trout, crème fraîche, Parmigiano-Reggiano, the 1 tablespoon of chives and a generous pinch of salt and cook over moderate heat, shaking the pan and stirring gently with a spatula, until small curds form and the eggs are just set, about 4 minutes. Garnish with snipped chives and serve with toast.