Bring a large pot of salted water to a boil.
Add the noodles and cook, 3-5 minutes, until al dente.
Once cooked, drain the water and immediately return the noodles to the pot.
While the noodles are cooking, mix the peanut butter, soy sauce, rice vinegar, sugat, garlic, ginger, and vegetable oil. Stir until smooth and combined.
Once the noodles are cooked, pour in the sauce, chicken broth, chopped bok choy, and shredded chicken and use tongs to toss and combine.
Turn heat to low and cook, stirring occasionally, for 8-10 minutes, until the sauce is steamy and everything is cooked through.
Serve with your favorite Asian hot sauce on the side