The whole point of this exercise is to be as nonthreatening as possible and invite the parrot to approach you. It is used in situations where the bird resists coming out of the cage without fuss and fear. It works very well to establish (or re-establish) a bond between a person and a parrot. For instance, when there is a sudden dislike of a family member, a new person wants to be a part of the bird's life, or the parrot has experienced some traumatic episode, this concept is the key to building a trusting bond with the bird.
Start by positioning a simple chair near the cage. Ideally the door of the cage should be open, however, if the bird is exceptionally nervous when the door is open, then start with it closed. Sit in the chair facing 3/4s away so that you can see the parrot using your peripheral vision. Your eyes should be cast downward and you should be doing something like reading your mail. The bird will be interested in what you are doing. For a very shy bird, this may be the entire session on the first day.
Eventually, you will "flirt" with your bird by keeping your eyes downcast but speaking to him in a calm animated voice using his name. You"re looking for any sign that he is becoming more comfortable with you. You"re also hoping to see him move closer to you. You may read out of a magazine or catalog and show him pictures as you go. (Perhaps read him this magazine!) The time you spend should be calm and quiet with no distractions. Try playing soft music or humming to set the mood. Do this frequently until he is showing signs of comfort. (preens, plays, eats, sleeps.