Preheat oven to 325 degree F.
The lamb shanks have a bit of papery white covering called fell. Remove the fell. Leave the silver skin which is the shiny covering attached to the meat as this will cook away. Salt and pepper both sides of the lamb shanks; set aside.
In a large shallow oven-proof baking or roasting pan large enough to hold the lamb shanks in a single layer, heat the olive oil over medium-high heat. Sear the lamb shanks, two at a time along with some of the chile peppers, until the shanks are deeply browned and the chile peppers are lightly browned; remove from heat to a plate. Repeat with the remaining two lamb shanks and chile peppers.
Add the butter and anchovies to the drippings in the pot. Using a wooded spoon, smash the anchovies and mix in with the drippings.
Return the seared lamb shanks and chile peppers to the pot, turning several times to coat well. Add the wine, beef stock/broth, lemon strips, and rosemary. Cook until the mixture becomes fragrant and you can smell the lemon. Remove from heat and place the lid on the pot.
Cover the pot tightly with a lid or aluminum foil and transfer to the bottom rack of the oven. Cook the lamb for 2 1/2 to 3 hours or until meat is tender. To test, insert a knife or skewer into a thick section (there should be no resistance, juices should run clear, and the meat almost falling off the bones). The internal temperature of your meat thermometer should register 180 degrees F.
Remove from oven and serve.
Makes 4 servings.
* Learn how to make homemade Beef Stock/Broth.
Braised Lamb Shanks with Anchovy Butter Recipe: https://whatscookingamerica.net/karencalanchini/braisedlambshanks.htm