Use kitchen twine to tie the veal shanks around the circumference and season with salt and pepper. Dredge them in the flour and shake of any excess.
Heat a large saute pan with the 3 tablespoons of olive oil over high heat. Add the floured shanks and brown on both sides, about 4 minutes per side. Remove to plate.
Combine turnips, celery, carrots, pearl onions, and tomatoes in the bottom of a preheated 5-quart slow cooker. Place veal shanks on top of vegetables.
In a small bowl, stir together the chicken stock, red wine, and Italian seasoning. Pour into the slow cooker over veal shanks.
Cover and cook on LOW setting for 8 to 10 hours.
Strain and remove the fat from the cooking liquid. Serve as a sauce on the side.