Cook the noodles according to package direction (add salt to water while cooking), drain, and set aside. Reserve some noodle cooked water.
Heat oil in a heavy-bottomed pan over medium flame. Add the finely chopped ginger, garlic, and chili flakes. Cook for 40-50 seconds.
Add the gochujang, lower the flame, add quarter cup of pasta water, gently mix the contents to a uniform consistency.
Add the cream, a pinch of salt, one tablespoon of vegan parmesan, and 1/3 cup of noodle cooked water. Mix and let it begin to simmer.
Add the cooked noodles, gently toss. If needed add a little noodle cooked water. Add the green onions.
Transfer to serving bowls. Garnish with sesame seeds, green onions, and cilantro. Serve immediately.