Remove the sausage from its casings and slice it into rounds.
Heat 1 tablespoon of olive oil in a large, deep skillet over medium heat. Add the sausage slices and cook for about 4 minutes on one side until browned. Flip and cook for an additional 2 minutes.
Cook the Gnocchi and Make the Sauce:
In the same skillet, add the uncooked gnocchi, heavy cream, and chicken broth. Stir everything well and bring to a boil over medium heat. Cover the skillet with a lid and cook the gnocchi for about 5 minutes, stirring occasionally, until tender.
Add Butternut Squash and Garlic:
To the skillet, add the butternut squash puree and minced garlic. Stir well, bring the sauce back to a boil, then reduce the heat to medium-low. Let it cook for 3-5 minutes, allowing the sauce to thicken. If you prefer a thicker sauce, cook a little longer until it reaches the desired consistency.
Season and Garnish:
Stir in half of the fresh sage and thyme, and season with salt and coarsely ground black pepper. Taste and adjust seasoning, keeping in mind that the sausage may already be salty.
When serving, top with the remaining sage and thyme for a fresh, fragrant finish.