Pat the chicken thighs dry with paper towels. Season both sides with salt and pepper.
To a 5–6 quart Dutch oven over medium-high heat, add oil. Once hot and shimmering, add the chicken. Sear for 2–3 minutes per side, or until golden brown. Transfer to a plate and set aside. (They will finish cooking later.)
Reduce the heat to medium. Add the remaining 1 tablespoon olive oil, adobo sauce from the chipotle peppers (discard peppers), coriander, cumin, and garlic. Stir for 30-60 seconds.
Add the corn, pinto beans, fire-roasted tomatoes, onion, jalapeño, and chicken broth. Stir well to combine.
Return the seared chicken (and any juices) to the pot.
Bring the mixture to a gentle boil, then reduce the heat to low. Cover and simmer for 25–30 minutes, or until the chicken is tender and fully cooked through to an internal temperature of 165°F.
Remove the chicken from the pot, shred with two forks, and return it to the pot.
Stir in the instant rice. Simmer uncovered for 10 minutes, stirring occasionally, until the rice is tender.
Reduce the heat to low. Slowly stir in the heavy cream until the soup is smooth and creamy. Salt and pepper to taste.
Serve warm, garnished with chopped parsley.