Pat dry and season. Blot the pork tenderloins with paper towels. Sprinkle lightly with salt and pepper on all sides. This helps with searing and seasoning.
Sear for flavor (optional but worth it). Heat olive oil in a large skillet over medium-high heat.
Sear the tenderloins for 1–2 minutes per side until lightly browned. Transfer to the slow cooker.
Make the cooking sauce. In a bowl, whisk together balsamic vinegar, soy sauce, brown sugar, Dijon, tomato paste, Worcestershire, garlic, rosemary, thyme, and chicken broth.
Cook low and slow. Pour the sauce over the pork in the slow cooker. Cover and cook on Low for 3–4 hours or High for 1.5–2 hours, until the internal temperature reaches 145°F in the thickest part.
Rest the pork. Transfer the cooked tenderloins to a cutting board, tent loosely with foil, and let rest for 10 minutes.
This keeps the juices in the meat.
Reduce and glaze. Pour the cooking liquid into a saucepan. Bring to a simmer over medium heat. Stir in the cornstarch slurry and cook for 2–4 minutes until glossy and thick enough to coat a spoon.
Taste and adjust salt, pepper, or a splash more balsamic if needed.
Slice and finish. Slice the pork into 1/2-inch medallions. Spoon the glaze over the slices, garnish with parsley, and serve with your favorite sides.