Peel and dice the potatoes into small, even pieces for uniform cooking. Spread them out on the cutting board and prepare to measure ingredients.
Heat the skillet over medium heat and add the oil. Once shimmering, add the diced potatoes in a single layer, allowing them to cook undisturbed for about 5 minutes until the bottoms turn golden brown.
Use a spatula to flip the potatoes, then cook for another 5-7 minutes, stirring occasionally, until they are tender inside and crispy on the outside. The potatoes should be uniformly golden and slightly crisped.
Sprinkle the smoked paprika over the potatoes and drizzle the soy sauce evenly. Continue cooking for 2-3 minutes, stirring gently to coat the potatoes well and allow the flavors to meld. Look for a slight glaze on the potatoes and a rich aroma.
Remove the pan from heat once the potatoes are well-coated and fragrant. Transfer to a plate and serve hot with additional seasonings if desired.