Slice — Cut into strips about 2–3mm thick, long enough to bend and thread onto skewers. Alternatively, cut into 1-inch blocks and score the surface lightly in a crosshatch pattern so the sauce has somewhere to go.
Wash the konnyaku — Wash the sliced pieces in salted water, then rinse well. This removes the faint ocean-y smell. Pat completely dry with a paper towel.
Make the sauce — Mix together the miso, mirin, and sugar until smooth and glossy. Set aside.
Thread the skewers — Fold each strip and thread onto skewers like you're sewing through the konnyaku. This gives more surface area for the sauce to cling to.
Pan-fry — Heat a pan over medium heat with a little oil. Add the konnyaku and pan-fry each side for about 1 minute until you see slightly white, cooked edges. Make sure they are completely dry before they go in or the oil will splatter.
Glaze — Using a pastry brush, apply a thin layer of miso sauce over the top. Cook for 1 minute, flip, brush the other side, and cook for another minute. If your pieces are on the thinner side, go easy on the sauce — it's bold and can overpower quickly.
Serve — Sprinkle with sesame seeds and serve warm. That's it!