Preheat your oven to 350 degrees Fahrenheit and spray a 9 x 13 baking dish with nonstick cooking spray.
Whisk together eggs, half-and-half, and salt in a large bowl.
Line the bottom of a 9x13 baking dish with a layer of (uncooked) hash browns.
Pour egg mixture over the layer of potatoes. Sprinkle the top of the eggs with ham.