Pat chicken thighs dry with a paper towel, then season both sides generously with lemon pepper seasoning.
Heat a large deep skillet over medium heat. Add cooking oil. Place chicken thighs skin-down and cook until browned, about 6-8 minutes.
While chicken browns, finely chop parsley and mince garlic. After removing chicken, turn skillet heat to low, add garlic, and sauté for about 1 minute until fragrant.
Pour chicken broth into the skillet, scraping up any browned bits from the bottom.
Add orzo and half of the chopped parsley to the broth. Stir to combine. Return chicken thighs to the skillet, skin side up.
Cover the skillet, turn heat to high, and bring broth to a boil. Reduce heat to low, cover, and simmer for about 15 minutes.
Fluff the orzo around the chicken. Top with remaining parsley and crumbled feta. Serve immediately!