I thinck quick balls they work the best
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any type just get its health low enough. a great ball would be recommended but a pokeball can sometimes work
You use a Pokemon with a lower level than Cresselia and you run in the grass. Then when you find it, attack it or throw a pokeball. Its HP stays the same whenever you find it i.e.) HP @50. Next time) HP @50.
Pokeball Peril.
If Cresselia disappeared off of your map completely, then you have already caught Cresselia, or there is a glitch in your game where Cresselia has just disappeared off of your map. Further details would be needed for a more in-depth assessment as to why this has happened if neither of the two reasons stated are why Cresselia isn't on your map.
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