Preheat the oven to 400 degrees Fahrenheit and line a large, rimmed baking sheet with parchment paper to prevent the tofu from sticking.
To prepare the tofu: Drain the tofu and use your palms to gently squeeze out some of the water. Slice the tofu into thirds lengthwise so you have 3 even slabs. Stack the slabs on top of each other and slice through them lengthwise to make 3 even columns, then slice across to make 5 even rows.
Line a cutting board with a lint-free tea towel or paper towels, then arrange the tofu in an even layer on the towel(s). Fold the towel(s) over the cubed tofu, then place something heavy on top (like another cutting board, topped with a cast iron pan or large cans of tomatoes) to help the tofu drain. Let the tofu rest for at least 10 minutes (preferably more like 30 minutes, if you have the time).
Transfer the pressed tofu to a medium mixing bowl and drizzle with the olive oil and tamari. Toss to combine. Sprinkle the starch over the tofu, and toss the tofu until the starch is evenly coated, so there are no powdery spots remaining.
Tip the bowl of tofu over onto your prepared baking sheet and arrange the tofu in an even layer. Bake for 25 to 30 minutes, tossing the tofu halfway, until the tofu is deeply golden on the edges. Use as desired.
*Make it gluten free: This dish is gluten free as long as you use gluten-free tamari, which is a variety of soy sauce that is usually (but not always, check the label) gluten free. I always use tamari instead of soy sauce because I prefer the flavor of it! Look for tamari next to the soy sauce in the Asian aisle of the grocery store.