Heat the oil, garlic, and crushed red pepper in a large saucepan over medium heat until fragrant, about 2 minutes.
Add the marinara sauce, olives, capers, parsley, and lemon zest. Reduce heat to low and simmer for about 15 minutes.
Meanwhile, cook the linguine according to the package instructions. Drain and add to the sauce, tossing to coat. Transfer to a serving dish.