  The observation of the electromagnetic counterpart of gravitational-wave (GW)
transient GW170817 demonstrated the potential in extracting astrophysical
information from multimessenger discoveries. The forthcoming deployment of the
first telescopes of the Cherenkov Telescope Array (CTA) observatory will
coincide with Advanced LIGO/Virgo's next observing run, O3, enabling the
monitoring of gamma-ray emission at E > 20 GeV, and thus particle acceleration,
from GW sources. CTA will not be greatly limited by the precision of GW
localization as it will be be capable of rapidly covering the GW error region
with sufficient sensitivity. We examine the current status of GW searches and
their follow-up effort, as well as the status of CTA, in order to identify some
of the general strategies that will enhance CTA's contribution to
multimessenger discoveries.
