- Using a mandoline or knife, shave the rounded sides of each zucchini to create flat sides, then cut in half lengthwise (you should have two flat sides on each zucchini half). Brush zucchini pieces all over with 1 tablespoon of olive oil, then season with salt and pepper.
- Prepare a charcoal grill at high heat. Grill zucchini directly over coals for 2 to 3 minutes per side, then remove from heat and set aside.
- In a mixing bowl, combine remaining 6 tablespoons of olive oil with lime juice, cilantro, and cojita cheese. Spoon mixture over zucchini and serve.