Preheat your oven to 350°F (175°C). Grease an 8x4-inch loaf pan with butter, then line the bottom and long sides with a strip of parchment paper.
In a large bowl, whisk the eggs vigorously until frothy and well beaten, about 1 minute. Add the melted butter and heavy cream, then whisk until smooth and fully combined.
Sift the coconut flour, baking powder, and salt into the wet ingredients. This step is important since coconut flour clumps easily. Stir gently with a spatula until a smooth, thick batter forms with no dry spots.Let the batter rest for 2 minutes. Coconut flour absorbs liquid slowly, and the batter will thicken slightly. If it looks very thick, that is normal.
Pour the batter into the prepared loaf pan and smooth the top with the back of a spoon.
Bake for 40 to 50 minutes, until the top is golden brown and a toothpick inserted into the center comes out clean. The bread should feel firm when pressed gently on top.
Let the bread cool in the pan for 10 minutes, then run a butter spatula around the edges and turn it out onto a wire rack. Allow it to cool completely, at least 45 minutes, before slicing. This bread is perfect for those who avoid nuts and works beautifully for sandwiches and toast.