Bring a large pot of salted water to a boil.

Add ziti and cook according to package directions until al dente.

While the pasta is cooking, heat olive oil in a large skillet over medium-high heat.

Add garlic and red pepper flakes to the skillet.

Cook, stirring frequently, until garlic is golden brown (about 3 minutes).

Add diced tomatoes with green chilies, chopped black olives, and basil to the skillet.

Bring the sauce to a boil, then reduce heat to low.

Cover the skillet and simmer for about 10 minutes, stirring occasionally.

Drain the cooked pasta and add it to the skillet with the sauce.

Toss to coat the pasta evenly with the sauce.

Sprinkle grated Parmesan cheese over the pasta.

Serve immediately.