Yes, if you're playing a 1st-5th generation Pokemon game. In 6th generation games, you won't be able to due to Electric Pokemon being immune to paralysis.
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To catch Zapdos you have to go to the power plant in Pokemon blue you also might need lots of poke balls because zapados is really hard to catch also try and and put him to sleep or paralyze him or freeze him and lower down his health so its easier to catch him.
zapdos
No, you can't. If you want to paralyze a Pokemon, it has to be awake.
you can find zapdos in the power plant.
Here are two Pokemon Moves that can Paralyze Pokemon: Shock Wave and sometimes Body Slam.