Saute the onion in oil until translucent.
Add in the garlic and saute for just a minute or two.
Add the chicken and season with salt and pepper.
Add the chicken broth, potatoes, and carrots.
Bring to a boil and cook until potatoes and carrots are tender.
Add in the broccoli and cook for a few minutes.
Remove from heat and stir in spinach to wilt.