outside of the power plant in Kanto after you have goten all 16 gym badges.
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you can find zapdos in the power plant.
If Moltres,Zapdos or articuno runs away you need to use action replay to get them back
depends on how weak he is and how lucky you are
Zapdos is right outside the Power Plant in Kanto. The Power Plant is near Cerulean City. Zapdos only appears with you have all 16 badges from both regions.
You have to have all 16 badges and then you go to the Power Plant in Route 10. then zapdos will be right out the door you would like to save and then interact with it ;D