Heat the olive oil in a large pot over medium heat.
Season the chicken thighs with salt, pepper, paprika, and thyme.
Sear the chicken thighs in the pot, skin-side down, for about 5-7 minutes.
Flip the chicken and cook for an additional 5 minutes.
Remove the chicken from the pot and set aside.
Add the diced onion and minced garlic to the pot.
Cook until the onion is translucent, about 3-4 minutes.
Stir in the orzo and cook for a minute to toast slightly.
Pour in the chicken broth, heavy cream, lemon juice, lemon zest, and bring to a simmer.
Return the chicken to the pot, skin-side up.
Cover and simmer on low heat for about 20 minutes.
Check the orzo for doneness; it should be al dente.
Season to taste with additional salt and pepper, if needed.
Serve garnished with chopped parsley.