Preheat oven to 400 degrees and place rack in upper third of oven. Cover rimmed baking sheet with parchment paper
Make cutlets by cutting breast in half width wise, placing between plastic or parchment paper and pounding with a rolling pin till chicken is about a 1/4 inch thick (see photos).
Season one side lightly with sea salt and pepper.
Turn seasoned side down and use a spatula to spread soft goat cheese on unseasoned side.
If goat cheese does not spread easily, it's ok. The cheese will spread out as it cooks.
Top with chopped spinach. Roll up chicken breast and stuffing and place seam side down on parchment covered rimmed cookie sheet.
If you can, place all chicken to one side of cookie sheet leaving room to add asparagus the last ten minutes of cooking. Place in oven and cook for 35 minutes. If chicken breast are really large you may need to cook 5 minutes longer. While chicken cooks prepare cream sauce and asparagus.