Brown the Sausage: Heat olive oil in a large deep skillet over medium-high heat. Add the sliced chicken sausage and sear for 2-3 minutes per side until golden brown. Remove sausage from the skillet and set aside on a plate.
Sauté Aromatics: Lower heat to medium. Add diced onion to the same skillet and sauté for 3-4 minutes until translucent. Stir in minced garlic and dried oregano, cooking for 1 minute until fragrant.
Toast the Orzo: Add the dry orzo to the skillet. Stir constantly for 2 minutes to toast the grains.
Simmer: Pour in the chicken broth, scraping the bottom of the pan to release browned bits. Bring to a boil, then reduce heat to low, cover, and simmer for 6-7 minutes, stirring occasionally.
Add Broccoli and Sausage: Uncover and stir in the broccoli florets and seared chicken sausage. Cover again and simmer for 5-6 minutes until the orzo is tender and the liquid is mostly absorbed.
Finish and Serve: Remove from heat. Gently fold in the Parmesan cheese, lemon juice, and chopped parsley. Season with salt and pepper to taste. Enjoy warm!