Whisk eggs in a bowl; add eggnog while whisking. Stir in salt.
Melt butter in a small skillet over low heat. Pour in egg mixture, swirling pan to spread in an even layer. Cook until lightly browned, about 2 minutes on each side; season with salt and pepper.
A good variation on this recipe is to make French toast simply by soaking a bread of your choice in the mixture and then frying the bread.
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