Cook the farro according to the instructions on the package. Once cooked, drain any excess water and season with salt and pepper to taste. Cover with a lid to keep warm. Do not start cooking the fish until the farro is done cooking.
Heat a saute pan on medium heat. Once hot, add the oil. Saute the garlic until golden brown. Add in the artichoke and tomato. Saute until the tomatoes soften and break down. Stir in the broth and bring to a simmer. Simmer until the broth reduces by about half to concentrate the flavor. Season with salt and pepper to taste. Add the cornstarch slurry a little at a time until the sauce thickens to a creamy consistency (use what you need). Then remove from the heat and stir in the parsley.
Preheat the oven broiler on high.
Drizzle the flounder with oil and season with oregano, salt, and pepper on a foil lined baking sheet.
Broil the fish to an internal temperature of 135°F using a thermometer. Time will depend on the thickness of the fish, however, it should not take very long.
Spoon the artichoke sauce over the fish. Serve with bread and farro.