Heat 1 tbsp olive oil in a large skillet over medium-high. Add sliced sausage in a single layer; cook 5–7 minutes, turning until golden. Remove and set aside.
Whisk honey, soy sauce, garlic, apple cider vinegar, and red pepper flakes (optional) in a small bowl. Set aside.
In the same skillet, add chicken broth and heavy cream. Stir, scraping up browned bits. Add pasta, bring to a boil, then simmer uncovered for 10–12 minutes, stirring occasionally.
Mix cornstarch and water into a slurry. Stir sauce and slurry into the skillet. Simmer 2–3 minutes until thickened.
Add sausage back in and toss to coat. Cook 1–2 more minutes to heat through.
Top with Parmesan, chopped herbs, and extra red pepper flakes if desired. Serve hot.