  The quasi-one-dimensional chiral charge density wave (CDW) material
(TaSe$_4$)$_2$I has been recently predicted to host Kramers-Weyl (KW) fermions
which should exist in the vicinity of high symmetry points in the Brillouin
zone in chiral materials with strong spin-orbit coupling. However, direct
spectroscopic evidence of KW fermions is limited. Here we use
helicity-dependent laser-based angle resolved photoemission spectroscopy
(ARPES) in conjunction with tight-binding and first-principles calculations to
identify KW fermions in (TaSe$_4$)$_2$I. We find that topological and symmetry
considerations place distinct constraints on the (pseudo-) spin texture and the
observed spectra around a KW node. We further reveal an interplay between the
spin texture around the chiral KW node and the onset of CDW order in
(TaSe$_4$)$_2$I. Our findings highlight the unique topological nature of
(TaSe$_4$)$_2$I and provide a pathway for identifying KW fermions in other
chiral materials.
