Owen's future at Newcastle has been the subject of speculation this summer after reports the striker had a £9million release clause in his contract.
Liverpool were rumoured to be possible suitors of the England international.
However, Parry says Owen will definitely not be moving to Anfield this summer and is unlikely to return to The Reds anytime soon.
"Certainly not in this transfer window and I very much doubt in the next one," Parry told BBC Radio Five Live.
The 32-year-old had won his first international call-up since Steve McClaren replaced Sven Goran Eriksson at the helm.