Heat vegetable oil in a large pot over medium heat.
Add the diced onion and sauté for 2-3 minutes until translucent.
Stir in minced garlic and grated ginger, cooking for an additional 1-2 minutes.
Pour in the chicken or vegetable broth and bring to a simmer.
Incorporate the sliced carrots and bok choy into the broth.
Gently add the frozen potstickers to the pot, stirring carefully.
Simmer for about 5-7 minutes or until the potstickers are cooked through.
Season with soy sauce to taste, adjusting for saltiness.
Serve hot, garnished with sliced green onions and a drizzle of sesame oil if desired.