Preheat oven to 350 degrees F. Season shank with salt & black pepper.
Heat 2 Tablespoons of the canola oil in a 6-quart Dutch oven on stovetop burner over medium-high heat. Add shank and fry for about 5 minutes until golden brown all over.
Add venison or beef broth and remaining seasonings. Cover with lid or tightly with foil, then place in the oven at 350 degrees F, undisturbed, for 3 to 3 ½ hours. The meat should be falling off the bone at this point.
Take Dutch oven out, remove lid, and use tongs or forks to shred meat off of the shank bone. Discard the bone and any undesirable tendons or fat.