Heat sesame oil in a large pot or Dutch oven over medium-high heat. Add chicken and cook until browned on all sides.
Add minced garlic and grated ginger to the pot and cook until fragrant, about 1 minute.
Pour in chicken broth, heavy cream, soy sauce, gochujang, and sriracha. Stir to combine and bring to a simmer.
Add the ramen noodles to the pot and cook according to package directions, usually 3-5 minutes, until tender.
While the noodles cook, prepare the eggs. You can soft-boil them separately or poach them directly in the simmering broth for the last 3-4 minutes of cooking.
Divide the ramen and broth between two bowls. Top each bowl with a cooked egg, sliced green onions, and a drizzle of chili oil.
Notes
For a milder flavor, reduce the amount of gochujang and sriracha.
Add other toppings like corn, spinach, or nori sheets if desired.
This recipe is a great option for a quick Asian dinner.