Season chicken thighs with salt and pepper and place them in the bottom of the slow cooker.
In a medium bowl, whisk together chicken broth, lemon juice, lemon zest, minced garlic, and dried oregano.
Pour the broth mixture over the chicken.
Cover and cook on High setting for 3 hours.
Stir in the rinsed long-grain white rice, ensuring it is submerged in the cooking liquid.
Cover and cook on High for an additional 45 to 60 minutes until rice is tender and liquid is absorbed.
Shred the chicken into bite-sized pieces and stir to incorporate with the rice.
Garnish with fresh parsley and serve immediately.