Place turkey between two sheets of heavy-duty plastic wrap. Using a meat mallet or rolling pin, flatten to 1/2-inch thickness.
Coat a large skillet with a tight-fitting lid with some olive oil and heat over medium-high heat until hot. Add turkey and cook for 5 to 6 minutes per side or until lightly browned.
Add asparagus and next 4 ingredients (broth through black pepper). Bring mixture to a boil then reduce heat, cover and simmer for 6 to 8 minutes or until turkey is cooked through.
In a cup, combine water and cornstarch. Add to skillet and cook, stirring constantly, for 1 minute or until sauce has thickened.
Remove turkey and asparagus from skillet and place on a serving platter. Spoon sauce over the top, serve, and enjoy!!