The City midfilder is still under contract at Ninian Park but could move if the right offer came in.
Yeovil's general manager John Milton has said he's looking for a left sided player but unlike other targets, Parry's name was not mentioned.
"We also want to sign a quality left sided player, a left winger, and if we get the chance, we need some cover at centre back," said Milton.
There's no confirmed interest in any City players although the press keep trying move out Neil Alexander.
Released Willie Boiland is said to be training with Swidon Town.