Answer 1

If you have a "Shiny Pokemon" any shiny pokemon and it evolves then the evolution will be shiny.

Comments

And what he said lol XD

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The contreversy here is that Shedinja isn't technically an evolution, Ninjask is.
Shedinja only comes with the evolved Nincada.

But in my opinion, l believe that the Shedinja will be shiny since
it copies the Nincada's stats, information, IVs, EVERYTHING!
(Even the date it was caught) ~

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I didn't know it copied the date it was caught

Answer 2

Well logically,Yes since shedinja is the shedskin of nincada and if nincada has a shiny color yeah I think so.