Yes you can catch it again all you have to do is beat the elite four again and it will return to where you found it, but i know this workes in Pokemon Heartgold and SoulSliver but i dont know if it will work in older games.
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You can only catch Zapdos in Crystal by cheating. otherwise it is not in the game
to catch zapdos in pokemon black you have to have every legendary pokemon
There are many reasons that you might not be able to catch Zapdos. You should try putting him to sleep before attempting to capture.
No
u can catch it when u catch articuno moltries and zapdos