Preheat the oven to 350°F. Grease the insides of a light colored mini muffin tin with cooking spray or vegetable shortening.
In a medium saucepan, combine the 1/2 cup unsalted butter, 1 teaspoon coarse kosher salt and 1 cup whole milk. Bring to a low boil.
As soon as mixture boils, transfer it to a mixing bowl. Using an electric hand mixer or stand mixer, slowly add in the 2 cups tapioca flour. Be very careful because the mixture can spit out and it is hot!
Blend in the grated 5 oz Parmesan or Cotija cheese, 2 eggs, 2 teaspoons sugar and 1 tablespoon olive oil. Mixture will be the consistency of a chunky pancake batter- pourable and thick, but liquid-y.
Spoon or pour the dough into individual muffin tins to about 2/3 full.
Bake for 20 minutes. Puffs will start to puff right out of the tin and be golden brown on the tops with a dimple in the center.
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Notes
Storage: If you have any leftovers, you can store at room temperature in an airtight plastic container. You don't have to refrigerate, but if you prefer to do so, you can.Freezing: You can freeze baked cheese puff bread. Simply place them in airtight plastic bags and squeeze out as much air as possible. Freeze for up to 6 months.Reheating: Like most breads, it will get gummy and chewy if reheated in the microwave. Even though it takes a few extra minutes, I suggest wrapped in aluminum foil and reheating in an oven preheated to 350 degrees for about 5-10 minutes.