  Relativistic jets can form from at least some tidal disruption events (TDEs)
of (sub-)stellar objects around supermassive black holes. We detect the
millimeter (MM) emission of IGR J12580+0134 --- the nearest TDE known in the
galaxy NGC 4845 at the distance of only 17 Mpc, based on Planck all-sky survey
data. The data show significant flux jumps after the event, followed by
substantial declines, in all six high frequency Planck bands from 100 GHz to
857 GHz. We further show that the evolution of the MM flux densities are well
consistent with our model prediction from an off-axis jet, as was initially
suggested from radio and X-ray observations. This detection represents the
second TDE with MM detections; the other is Sw J1644+57, an on-axis jetted TDE
at redshift of 0.35. Using the on- and off-axis jet models developed for these
two TDEs as templates, we estimate the detection potential of similar events
with the Large Millimeter Telescope (LMT) and the Atacama Large
Millimeter/submillimeter Array (ALMA). Assuming an exposure of one hour, we
find that the LMT (ALMA) can detect jetted TDEs up to redshifts $z\sim1$ (2),
for a typical disrupted star mass of $\sim1$ M$_\odot$. The detection rates of
on- and off-axis TDEs can be as high as $\sim0.6$ (13) and 10 (220) per year,
respectively, for the LMT (ALMA). We briefly discuss how such observations,
together with follow-up radio monitoring, may lead to major advances in
understanding the jetted TDEs themselves and the ambient environment of the
CNM.
