Isaiah lived at a time when Assyria posed a clear and real threat to Jerusalem, and frequently warned of this. However, these warnings, which sometimes came in the form of oracles, can not really be called prophecies. As Assyria never actually captured Jerusalem, anything he might have said to that effect was not a prophecy as we understand the term.
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Isaiah’s initial prophecy concerning Assyria is in Isaiah chapter 10. Here Isaiah refers to Assyria as the tool or instrument of Yahweh, insinuating that the tool is nothing without the power of the one wielding the tool. He also makes clear Yahweh’s promise to care for a remnant that will remain no matter what transpires and that in the end, that Assyria will be punished and destroyed.