The neutron spin rotation induced by parity-violating (PV) components in the nucleon-nucleon potential is studied in n⃗-d scattering at zero energy. Results are obtained corresponding to the Argonne v_18 two-nucleon and Urbana-IX three-nucleon strong-interaction potentials in combination with either the DDH or pionless EFT model for the weak-interaction potential. We find that this observable is dominated by the contribution of the long-range part of the PV potential associated with pion

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... e. Thus its measurement could provide a further constraint, complementary to that coming from measurements of the photon asymmetry in n⃗-p radiative capture, on the strength of this component of the hadronic weak interaction.