Preheat your oven to 400°F (200°C) and line a large rimmed baking sheet with parchment paper.
Press the extra firm tofu between heavy plates and paper towels for 15 minutes to remove excess moisture, then slice into 1-inch cubes.
Scrub the Yukon gold potato and dice into 1/2-inch cubes, ensuring they are smaller than the tofu to guarantee even roasting.
In a large mixing bowl, whisk together the olive oil, nutritional yeast, garlic powder, oregano, thyme, sea salt, and black pepper.
Add the tofu and potato cubes to the bowl, tossing gently with a spatula until every surface is evenly coated in the savory herb mixture.
Spread the ingredients in a single layer on the prepared baking sheet, ensuring no pieces are overlapping so they can crisp properly.
Roast for 25 to 30 minutes, flipping the pieces halfway through, until the potatoes are tender and the tofu develops a golden, crispy exterior.
Remove from the oven and garnish with freshly chopped parsley before serving warm.