The 32-year-old is currently at Besiktas but would be open to a return to English football which would help him reunite with fiancée Perrie Edwards who spoke recently about the challenges of being apart as the two continue to forge their careers.
“I can't lie, it is hard. When he was playing for Liverpool and based in Manchester, it was so easy to do the back and forth but Turkey is a little bit further and he doesn't get a lot of time off.
“I'm trying to launch a solo career whilst having a two-year-old so it is a lot to juggle but we make it work for the ones we love don't we?
“We've never lived together anyway - the whole eight years we've been in a relationship, we've never actually lived together.”
Tom Brady, the legendary NFL quarterback who won the Super Bowl seven times during his playing career, is a co-owner of the club and is said to be a big fan of the former Liverpool star who has been enjoying life in Turkey.
At 32-year-old he still remains a popular figure at Liverpool, having won the Premier League, League Cup, FA Cup, Champions League, European Super Cup, and Club World Cup during his six-year spell on Merseyside. He would certainly bring the experience needed to help Birmingham back to the top if he does arrive this summer.
The Championship side look to achieve back-to-back promotions and reach the Premier League and Oxlade-Chamberlain's experience could be key to seeing them climb back up to the top even if there is a worry about potential injury issues after suffering so many in the past which stunted his career.