The Short Version
This claim is substantively accurate. In October 2015, IARC — the cancer research agency of the WHO — classified processed meat as a Group 1 carcinogen, and explicitly listed "ham" as an example. WHO itself communicates this classification on its own website. Saying "WHO classified" is reasonable shorthand, though technically the classification comes from IARC's Monographs program. "Deli ham" falls under the processed meat category rather than being individually evaluated. The core claim holds up well.