The former Leeds United and Ferencvaros forward struggled to nail down a place in the Leesiders starting team and has left the club
The former Sligo Rovers striker played in just two league games for John Caulfield's side since arriving in November 2013. In a statement confirming Elding's departure, the club thanked the 32-year-old for his service during his time with the Turner's Cross outfit and wished him luck for the future.
"The club would like to thank Anthony for his contribution to Cork City FC and wish him the best of luck for the future," the statement read.
Speaking to the official Cork City website, Elding thanked the club for their support, wishing them luck, and explained that his time at the club did not work out as he had hoped it would.
"Things have not worked out as we would have hoped, but sometimes that happens in football," said Elding.
"I would also like to give a special mention to Timmy Murphy for helping myself and my family settle in. I want to wish the club the very best of luck for the rest of the season and for the future."