See Wiki :Battle of Pelusium:
The Persians attacked Egypt while going through the territory which is today Israel:
What happened to that territory when this happened?
Who was the king?
Is this account mentioned in the bible?
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There was no "Israel" at that time. The Kingdom of Judah was conquered by Babylonia at 587 BC, see Siege of Jerusalem 587 BC. In 539 BCE the Persians conquered Babylonia, and established the Yehud province, which were a peaceful part of the Achaemenid Persian Empire until the fall of the Empire in c. 333 BCE to Alexander the Great.
Wikipedia even has a section describing the biblical version of this period: Biblical version of the Persian years (539-332 BCE)