"Letting go" belongs in the same HR phrasebook. They didn't ask permission to quit and the company were so generous to let them, the initiative was from the other side.
I thought the modern lingo was "impacted". So and so was impacted. Ten thousand employees were impacted. It avoids let go, but detaches as much as possible from the personal crisis.
That reads differently to me. The company is doing the letting go. Like letting loose. Or letting fly. It's agency on the part of the company. Letting them see. All of these will have euphemistic overtones as no company will want to say that they axed 10,000 people.