Preheat the oven to 425°F (220°C). Line a baking sheet with parchment paper.
Slice the zucchini in half lengthwise and score the cut sides in a shallow criss-cross pattern.
Sprinkle the cut sides with salt and let rest for 15 minutes. Blot excess moisture with paper towels.
Heat 1 tablespoon olive oil in a large skillet over medium-high heat. Place zucchini cut side down and cook until browned, about 4–5 minutes. Flip and cook the other side for 4 minutes. Transfer to the prepared baking sheet, cut side up.
Add the remaining olive oil to the skillet along with garlic, oregano, and crushed red pepper. Cook until fragrant, about 1 minute, then remove from heat.
Brush the zucchini generously with the garlic-herb oil.
Bake for 5 minutes until tender.
Sprinkle with cheese and return to the oven for 3 minutes, or until the cheese is melted and bubbly.
Garnish with fresh basil and serve immediately.