  The odd entanglement entropy (OEE) for bipartite states in a class of
$(1+1)$-dimensional Galilean conformal field theories ($GCFT_{1+1}$) is
obtained through an appropriate replica technique. In this context our results
are compared with the entanglement wedge cross section (EWCS) for
$(2+1)$-dimensional asymptotically flat geometries dual to the $GCFT_{1+1}$ in
the framework of flat holography. We find that our results are consistent with
the duality of the difference between the odd entanglement entropy and the
entanglement entropy of bipartite states, with the bulk EWCS for flat
holographic scenarios.
