  Parafermion zero modes are exotic emergent excitations that can be considered
as $\mathbb{Z}_n$ generalizations of Majorana fermions. Present in fractional
quantum Hall-superconductor hybrid systems, among others, they can serve as
potential building blocks in fault-tolerant topological quantum computing. We
propose a system that reveals noise and current signatures indicative of
parafermion zero modes. The system is comprised of the edge excitations
("quasi-particles") of a fractional quantum Hall bulk at filling factor $\nu =
1/m$ (for odd integer $m$) incident upon the interface of a superconductor, and
in the presence of back-scattering. Using perturbative calculations, we derive
the current that propagates away from this structure, and its corresponding
noise correlation function. Renormalization group analysis reveals a flow from
a UV fixed point of perfect normal reflection towards an IR fixed point of
perfect Andreev reflection. The power law dependence of the differential
conductance near these fixed points is determined by $m$. We find that behavior
at these two limits is physically distinguishable; whereas near perfect Andreev
reflection, the system deviates from equilibrium via tunneling of Cooper pairs
between the two edges, near perfect Normal reflection this is done via
tunneling of a single quasi-particle to an emergent parafermion zero mode at
the superconductor interface. These results are fortified by an exact solution.
