  Parafermionic zero modes are a novel set of excitations displaying
non-Abelian statistics somewhat richer than that of Majorana modes. These modes
are predicted to occur when nearby fractional quantum Hall edge states are
gapped by an interposed superconductor. Despite substantial experimental
progress, we argue that the necessary crossed Andreev reflection in this
arrangement is a challenging milestone to reach. We propose a superconducting
quantum dot array structure on a fractional quantum Hall edge that can lead to
parafermionic zero modes from coherent superconducting forward scattering on a
quantum Hall edge. Such coherent forward scattering has already been
demonstrated in recent experiments. We show that for a spin-singlet
superconductor interacting with loops of spin unpolarized $2/3$ fractional
quantum edge, even an array size of order ten should allow one to
systematically tune into a parafermionic degeneracy.

Mesoscale and Nanoscale Physics