CITES, by definition, is meant to control international trade in wild-acquired endangered species. The convention itself excludes hybrids and artificially propagated species.
However, it is up to the various national authorities to apply the convention, and the extent to which that is interpreted and accomplished varies.
For example, the USFWS refused to accept the entry of artificially propagated flasks of Vietnamese species - exempt from CITES - because Vietnam had never, ever, issued CITES documentation, or maybe I should state that as did not have an established, working, CITES authority.