Begin by boiling a large pot of water over high heat. Once it reaches a rolling boil, add the ramen noodles and cook according to the package instructions, typically around 3-4 minutes, until they're al dente. Drain the noodles in a colander and set them aside while you prepare the chicken and sauce.

In a large skillet, heat a tablespoon of olive oil over medium-high heat. Season the chicken breasts with salt, pepper, and a sprinkle of cayenne for an early kick. Cook the chicken for about 6-7 minutes on each side or until golden brown and the internal temperature reaches 165°F (75°C). Remove the chicken from the skillet, let it rest for a few minutes, then slice it into bite-sized pieces.

In the same skillet, reduce the heat to medium and add minced garlic, sautéing for about 1-2 minutes until fragrant but not burnt. Pour in the heavy cream, stirring in cayenne pepper, chili powder, and Parmesan cheese. Simmer the sauce for around 3-5 minutes, allowing it to thicken slightly.

Add the cooked ramen and sliced chicken back into the skillet with the creamy sauce. Toss gently for about 2-3 minutes, ensuring every noodle and piece of chicken is coated in the heavenly combination of flavors.

Plate the Fiery Chicken Ramen into bowls and finish with a squeeze of fresh lime juice for a perfect zesty balance. Garnish with extra Parmesan cheese, if desired.