Heat 1 tablespoon extra virgin olive oil in a soup pot over medium heat. Season the chicken with 1½ teaspoons kosher salt and 1 teaspoon black pepper. Add it to the pot (skin-side down, if using skin-on thighs). Cook without moving for 5 minutes.
Flip the chicken and add the diced onion, potatoes, lemon pepper, and crushed red pepper. Season with salt and pepper. Toss to coat and cook for 5 minutes.
Simmer the soup:
Add the beans and chicken stock and bring to a boil. Reduce the heat and simmer uncovered for 45 minutes.
Remove chicken and shred with two forks. Discard the skin and bones if using bone-in, skin-on chicken thighs.
Finish the soup:
Add the kale and shredded chicken to the soup. Simmer for 5 minutes until the kale wilts. Finish with heavy cream, lemon juice, and parsley. Taste and season once more with salt, pepper, or crushed red pepper.
To serve:
Ladle the soup into bowls and garnish with more parsley if you like. Enjoy!