Melt butter in large pot. Add onion, celery, carrots. Sauté 3-4 minutes.
Add garlic, cook 30 seconds. Pour in chicken broth.
Add bay leaves, thyme, salt, and pepper. Bring to simmer.
Add raw chicken breasts and cook 12-15 minutes until done. Shred chicken.
In bowl, mix Bisquick, milk, melted butter, and salt. Stir lightly (lumpy is okay).
Drop dumpling dough by spoonfuls into simmering broth.
Cook dumplings 15 minutes until tender and floating.
Add shredded chicken, peas, and corn. Warm 2-3 minutes.
Remove bay leaves. Adjust salt and pepper.
Garnish with fresh parsley. Serve hot.