God says he will leave a remnant—some who escape the sword and are scattered among the nations Ezekiel 6:8. These survivors will remember the LORD, loathe themselves for their sins, and recognize his words Ezekiel 6:9–10. The remnant is described in contrast to widespread destruction of idol sites and cities Ezekiel 6:6–7.
In Ezekiel 6:8–10 the announced devastation is not total. A small group survives the violence and ends up scattered among other peoples. In exile they “remember” Yahweh and come to see their past loyalties as betrayal, pictured as unfaithfulness to a spouse and fixation on idols. This remembered relationship produces self-disgust over what they did. These verses sit inside an oracle that targets Judah’s “high places” and idol sites, announcing that the land’s worship centers will be smashed and the people cut down (Ezekiel 6:1–7).
Ezekiel 6:8–10 interrupts a judgment speech with a limited note of preservation: the coming devastation will not erase everyone. Yahweh explicitly says a “remnant” will remain, and their survival is linked to being scattered among other peoples (verse 8). This remnant remembers Yahweh while living in captivity among the nations (verse 9).
A careful answer keeps the immediate passage, the book's argument, and the whole-Bible storyline together, so the question is answered in context instead of as a detached idea.
Start with Ezekiel 6:8, then read the surrounding section so the answer stays connected to the passage's flow.
8Yet will I leave a remnant, in that you shall have some that escape the sword among the nations, when you shall be scattered through the countries.