Line two large baking sheets with parchment paper or silicone mat.
To a small saucepan, melt butter and add salt, sugar and water and bring to a rolling boil.
Add the flour and use a wooden spoon to stir until a roux (a rough paste). Continue to stir vigorously for a couple minutes.
Transfer to a bowl and continue to stir until it cools down.
Add the eggs, one at a time making sure each is fully absorbed before adding the next. You may not need to add all three eggs, so be sure to check the texture after each addition.
Transfer to a piping bag and pipe onto prepared baking sheets. Brush with egg wash and sprinkle with pearl sugar.
Bake for 30-35 minutes until golden brown. Turn the oven off and leave the chouquettes in the oven for another 20-25 minutes.