01 - In a large mixing bowl, combine the warm water (110°F), sugar, and instant yeast. Stir gently and let the mixture rest for about 5 minutes until it becomes frothy and foamy on the surface.
02 - Add the all-purpose flour, salt, and softened butter to the yeast mixture. Stir until a shaggy dough begins to come together.
03 - Turn the dough out onto a lightly floured surface and knead by hand for 7 to 8 minutes, or use a stand mixer fitted with a dough hook for 5 minutes, until the dough is smooth, elastic, and springs back when pressed.
04 - Place the kneaded dough in a lightly greased bowl, turning once to coat all sides. Cover tightly with plastic wrap or a clean kitchen towel and set in a warm, draft-free spot until doubled in size, approximately 1 hour.
05 - Preheat your oven to 400°F. Line a baking sheet with parchment paper and set aside.
06 - Gently punch down the risen dough to release excess air. Divide it into 12 equal portions. Roll each piece into a rope about 7 to 8 inches long and arrange them on the prepared baking sheet, spacing them about 2 inches apart.
07 - Loosely drape a kitchen towel over the shaped breadsticks and let them rest in a warm place for 20 to 30 minutes until puffed and nearly doubled.
08 - Bake the breadsticks on the center rack for 12 to 15 minutes, rotating the pan halfway through, until the tops are lightly golden and the bottoms sound hollow when tapped.
09 - While the breadsticks bake, whisk together the melted butter, minced garlic, salt, and chopped parsley in a small bowl. As soon as the breadsticks emerge from the oven, brush them generously on all sides with the garlic butter. Serve warm.