The feasibility of an experiment for the observation of parity nonconserving effects using Helike highly charged ions in storage rings is discussed theoretically. The basic idea is the observation of an asymmetry in the emission of the hyperfine quenched transition s s S s S 1 2 1 1 0 2 1 0 0 ( ) with zero total electron angular momentum and polarized nuclei are the best available candidates. The nuclei can be polarized if H-like Eu 62+ ions capture an electron from a polarized electron beam which overlays the ion beam on some part of the ring and travels with nearly the same velocity. It is suggested, to monitor steadily the degree of the nuclear polarization by the observation of the selective laser excitation and subsequent decay of the Zeeman sublevels of the excited hyperfine states of the ionic ground state. Estimates for the observation time aiming at an accuracy of PNC measurement of about 0.1% are given.