The 33-year-old joined the Potters in a one-year deal in September after being released by Manchester United, but has yet to make a Premier League start as injury and form of his team-mates have restricted his involvement.
A Perth Glory spokesman has claimed that Owen has been touted to the A-League club - who earlier this season also claimed they wanted to sign David Beckham - but it seems any transfer was a long way off.
"Michael Owen's agent has enquired about Michael playing in the A-League," the club's spokesman told the West Australian newspaper.
"Perth Glory are interested but are yet to find out Michael's terms and conditions. Until these are known, Perth Glory will not enter any further negotiations."
Stoke travel to Crystal Palace on Saturday afternoon as the sides battle for a place in the fourth round of the FA Cup.
Owen tweeted: "Got some great memories from this competition. Not been handed the easiest of draws. Would love a good Cup run."
Perth Glory, who lost last year's A-League grand final, are looking to fill an international player position in their squad - which does not come under the A- League's salary cap - with former St Mirren striker Billy Mehmet joining Thai club Bangkok Glass.
Owen's former England team-mate Emile Heskey moved to the A-League at the start of the season after agreeing a one-year contract with the Newcastle Jets.
Heskey, who has scored seven goal in 14 games, was joined Down Under by legendary former Juventus striker Alessandro Del Piero after he agreed a two-year deal with Sydney FC.