Turn the artichokes upside down and bang them quite a few times on the countertop or on a cutting board to open up the leaves a bit.
With your fingers, spread the leaves apart a little more.
Put a parsley leaf and about 1/4 teaspoon of minced garlic in between the leaves. Do this to about every other leaf.
Place the artichokes base side down in a tall pan. Fill the pan with water half-way up the artichokes.
Sprinkle about 1 teaspoon of salt over each artichoke! Then just lightly sprinkle each one with pepper. The water absorbs the salt, and without enough salt the artichokes will be very bland.
Drizzle about a heaping tablespoon of olive oil over each artichoke.
Bring the water to a boil, then reduce the heat to medium low, cover, and let them simmer about 40-60 minutes., depending on the size of your artichokes. Check the water level after about 20 minutes. Add more water if necessary.
Half-way through, taste an artichoke leaf to be sure it has enough salt. Artichokes need a lot of salt!
Before removing them from the stove, taste one leaf to check if the leaves are tender and the salt is right. Use a large spoon or tongs to remove the artichokes to a serving plate. Reserve some broth for reheating.
Serve immediately or cover and refrigerate them to serve later. Reheat them in the artichoke broth in the microwave for a few minutes.