Bring a large pot of salted water to a boil.

Add the pasta and cook according to the package instructions until al dente.

Drain the pasta and set it aside.

In a large skillet, heat a drizzle of olive oil over medium-high heat.

Add the chorizo sausage and cook until it's browned and slightly crispy, about 4-5 minutes. Remove chorizo from the pan and set it aside.

In the same pan, add the chopped onion and sauté for about 2-3 minutes until it becomes translucent.

Add the minced garlic and dried oregano, and cook for another 1-2 minutes until fragrant.

Pour in the chicken or vegetable broth. Stir to combine.

Stir in the pan the frozen peas. Let the mixture simmer for about 5 minutes, allowing the sauce to thicken.

Return the cooked chorizo to the pan and mix it with the sauce.

Season the sauce with salt and black pepper to taste.

Place Chorizo Pasta dishes on plates.

Sprinkle grated Parmesan cheese over the top.

Garnish with chopped fresh oregano.