The West Coast club issued a statement on Monday expressing its regret at the repeated booing.
In a statement, the club said its Indigenous liason officer, Phil Narkle, spoke to Noongar elders today to express the club's dismay and disappointment at the treatment of Goodes during Saturday's game.
"Adam Goodes is a wonderful player, person and Aboriginal leader and deserves our respect," Narkle said.
"As a club we are committed to a Reconciliation Action Plan and internally we are making some important progress in this area, now we hope to impact the community more broadly."
Chief executive officer Trevor Nisbett also came out strongly in support of Goodes.
"It is completely inappropriate and it has to stop," Nisbett said in the statement.