Heat the olive oil in a large pot over medium heat. Add the chicken pieces and cook until lightly browned on all sides, about 5 minutes.
Add the onion and garlic to the pot. Cook for 3 minutes until the onion softens.
Stir in the sweet potato cubes, minced chipotle peppers, and cumin. Cook for 2 minutes to coat everything evenly.
Pour in the chicken broth and bring the mixture to a boil. Reduce heat to low, cover, and simmer for 20 minutes until the sweet potatoes are tender.
Add the corn, salt, and black pepper. Simmer uncovered for 5 more minutes.
Remove the pot from heat. Stir in the chopped cilantro and serve with lime wedges on the side.