Place a heavy-bottom pot over medium-high heat. Add 1 tablespoon of oil. Once hot, add lamb shoulder chops to the pan. Sear for 2-3 minutes on each side until nicely browned. Transfer the chops to a plate. (You can season your lamb with salt and pepper lightly)
Turn the heat down to medium. In the same pan, add 1 tablespoon of oil. Add shallots and garlic and saute for 1 minute.
Then add carrot and celery, and saute for about 2-3 minutes.
Add tomato paste, wine, chicken broth, thyme, and bay leaves. Add salt and pepper to taste (I used 1/4 teaspoon of salt and pepper each, Don’t add too much at this point, as the sauce will be more salty when it thickens).
Stir constantly until the tomato paste is dissolved.
Add the lamb shoulder chops back to the pan. Arrange them so that they can be submerged.
Cook for 2-3 minutes or until it comes to a boil. Reduce the heat to low and cover with a tight-fitting lid.
Simmer for about 1.5 to 2 hours or until the meat is fork-tender. Season with more salt to taste.
Serve immediately, sprinkle with chopped parsley, and drizzle the sauce on top. (Optional: For a thicker gravy, remove the meat, and vegetables with a slotted spoon. Turn the heat to medium-high and cook uncovered to thicken the sauce. It takes about 20-30 minutes.)