Place the chicken thighs in a medium bowl and generously season them with salt and jerk seasoning, making sure to cover the chicken thoroughly with the spices. Cover it with plastic wrap and let it marinate for 30 minutes or up to 24 hours in the fridge. (For faster cooking, cut the chicken into bite-size pieces.)
Cook the pasta in a large pot according to package instructions. Salt according to taste, drain, and set aside.
Heat a heavy cast-iron skillet over medium-high heat. When the pan is hot, add about a tablespoon of oil to cover the bottom of the pan. Add the chicken and sear both sides until golden brown or cooked through and juices run clear (8-10 minutes on each side, depending on the thickness).
Transfer it to a plate, let it rest for about 10 minutes, then slice it and set aside.
Add the remaining oil to the pan, and cook the onion, garlic, and thyme, stirring for about a minute until the onion is soft. Then add the bell peppers and cook for 2-3 minutes, stirring occasionally—season with paprika, Worcestershire, and the remaining jerk spices.
Pour in the chicken stock and heavy cream, bring it to a boil, and simmer for 3-4 minutes. Add the parmesan cheese and cook for another minute.
Finally, stir in the cooked pasta and sliced chicken, or serve with the chicken on top, like I did.
Garnish with green onions and parsley, and enjoy.