Cook the pasta according to package instructions until al dente. Reserve 1/2 cup of pasta water before draining.
In a large skillet over medium heat, warm the olive oil and sauté the minced garlic until fragrant, about 1 minute.
Add the shredded chicken, salt, black pepper, red pepper flakes, and oregano, stirring for 2 minutes.
Lower the heat and stir in the ricotta cheese, heavy cream, chicken broth, and Parmesan cheese until smooth.
Add the drained pasta to the skillet and toss until well coated. If the sauce is too thick, add reserved pasta water gradually until desired consistency is reached.
Remove from heat and garnish with fresh parsley before serving.