Step by step

Add the cubed asparagus to the pan and continue frying, then cover with some hot water a simmer gently

As with artichokes, to keep asparagus fresh for longer we recommend immersing them in a pot with water, just as if they were flowers.
Before cooking the asparagus, peel them and private remove the tougher parts of the stem. You can then cook them in boiling salted water or steam them. If you have a special pan for cooking asparagus, even better: this utensil allows you to cook the stems in water whilst steaming the tips.