The 27-year-old Paraguayan international only moved to Asia from Bundesliga champions Borussia Dortmund in the summer, signing a four-year deal with Guangzhou.
However, after struggling to settle in at his new club, Barrios has been linked with a move to the Premier League, with Gunners boss Arsene Wenger believed to be interested in the South American's signature.
Arsenal spent big on the summer signing of Lukas Podolski and Olivier Giroud, as they seek to fill the void left by the departed Robin van Persie, but could re-enter the transfer market when the window opens in January.
Barrios says he'd be open to moving, but will only leave if suitors are willing to pay the reported €12million (£9.7m) he cost Guangzhou just a few months ago.
"Those are rumours that have come up because some time ago I expressed my intention of leaving China," he told Radio ADN. "It's speculated that I'll return to Europe, that I'll join a big club, but that doesn't depend on me.
"Guangzhou Evergrande signed me six months ago, so the only way I can leave is if someone pays what they paid to sign me. I have three more years left on my contract so it's complicated to leave now."
Manchester City have also been credited with an interest in Barrios, and could rival Arsenal for his services. His former club Colo-Colo have now been counted out of the running, after the forward ruled out an emotional return to Chile.
"I love Colo-Colo, I'm like any supporter. But it would be irresponsible to delude the fans."