  We present a method for detecting starspots on cool stars using the
cross-correlation function (CCF) of high resolution molecular spectral
templates applied to archival high-resolution spectra of G and K stars observed
with HARPS/HARPS-N. We report non-detections of starspots on the Sun even when
the Sun was spotted, the solar twin 18 Scorpii, and the very spotted Sun-like
star HAT-P-11, suggesting that Sun-like starspot distributions will be
invisible to the CCF technique, and should not produce molecular absorption
signals which might be confused for signatures of exoplanet atmospheres. We
detect strong TiO absorption in the T Tauri K-dwarfs LkCa 4 and AA Tau,
consistent with significant coverage by cool regions. We show that despite the
non-detections, the technique is sensitive to relatively small spot coverages
on M dwarfs and large starspot areas on Sun-like stars.
