01 -
Heat the oven to 400 F. Line a baking sheet with parchment paper, spread the prosciutto and smashed garlic on it, drizzle with olive oil, and bake for 8-10 minutes until the prosciutto is crisp. Let cool, then crumble the prosciutto and finely chop the roasted garlic.
02 -
Place the grated zucchini in a colander and toss with a small pinch of salt. Let it sit while you make the sauce base and cook the pasta.
03 -
In a large heatproof serving bowl, whisk the eggs, parmesan, pecorino, basil, thyme, lemon zest, red pepper flakes, black pepper, and chopped roasted garlic until thick and well combined.
04 -
Bring a large pot of salted water to a boil. Cook the spaghetti until al dente, then reserve 1 cup of the cooking water.
05 -
Drain the hot pasta directly over the zucchini in the colander. Shake once or twice, but do not rinse, so the zucchini warms and softens.
06 -
Immediately add the hot pasta and zucchini to the egg mixture off the heat. Toss quickly with tongs, adding reserved pasta water a little at a time, until the sauce is glossy and creamy.
07 -
Divide into bowls. Top with torn burrata, crispy prosciutto, extra basil, black pepper, and a little lemon zest. Serve right away.