The 33-year-old joined Stoke on a one-year contract in September after he was released by Manchester United in the summer. Owen has, however, yet to make a league start for the Potters as injury and the form of his team-mates has 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 any potential move was still some way off.
"Michael Owen's agent has enquired about Michael playing in the A-League," the spokesman told the West Australian newspaper. "Perth Glory are interested but are yet to find out Michael's terms and conditions.
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"Until these are known, Perth Glory will not enter any further negotiations."
Owen's former England team-mate Emile Heskey moved the 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.
Football Federation Australia also claimed in November that they had been approached by agents working on behalf of Beckham about the prospect of a short-term move.
Those claims were quickly rubbished by Beckham despite the former England captain later calling time on his five-year stay at Los Angeles Galaxy to seek a new club.
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 to join Thai club Bangkok Glass.
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