Place the pork tenderloin in the slow cooker.
In a small bowl, stir together the soy sauce, grated ginger, minced garlic, chicken broth, and sesame oil. Pour the mixture over the pork.
Cover and cook on low for 6 hours until the pork is tender.
In the last 30 minutes, add the trimmed snow peas to the slow cooker and stir gently to coat them in the sauce.
Remove the pork, slice it, and return the slices to the slow cooker to warm through.
Sprinkle with sliced green onions before serving.