(It is sounded out ezEEteh.) It is spelled εζηει. So, yeah, I know. There's a Zeta in there, but still. It means 'he was seeking.' Eerie.
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η (eta) is not anything close to an n though. It just looks like that to an English speaker.
I think Entei, Raikou, and Suicune are based off of Japanese or Chinese words. No Greek heritage there.