The club confirmed the 33-year-old was simply a special guest at the Chinese FA Cup game and not in negotiations about a move.
Cahill endured a difficult 2011-12 season with the Toffees, scoring just three goals, prompting talk of him leaving the club.
The Australian's presence in China was a hot topic of conversation after the game, with speculation rife regarding a potential transfer after he was linked with Saudi Arabian club Al Ittihad recently.
"I hope he could be interested in our club, and we wish we could find him in the pitch next year," Gao lightheartedly said before clarifying Cahill was only visiting.
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"The club actually had negotiations with Tim Cahill, but failed to reach an agreement," he told reporters.
"There were some technical problems, so Mr Cahill visits Guizhou this time. We really hope he could be interested in Guiyang and our club."
Guizhou Renhe currently have their full five-man foreign quota, with Australian defender Dino Djulbic counting as their Asian player.