Manchester United manager Sir Alex Ferguson claims Eduardo's two-match European ban for diving will have got the "message across".
The Gunners are to appeal against UEFA's decision, which the Barclays Premier League club feel has "obvious errors" and was a "deeply flawed" ruling.
Speaking to the media following a UEFA Elite Club Coaches Forum in Nyon, Switzerland, Ferguson said: "Quite rightly something should be done. You hope that message gets across."
Ferguson, though, believes Arsenal boss Arsene Wenger is right to defend Eduardo, who has just come back from a year out with a broken leg.
"I wouldn't say it publicly but I wouldn't be pleased if it was my player who did that," the United manager added.
"When you make a public criticism of your players you are in danger of losing the morale of the dressing room.
"Your job is to protect the dressing room and keep it solid. You become insular and protective of your own players in your team. We're all selfish that way."
However, Ferguson feels education is the way forward to eliminate the concept of diving from the game.
"Not one coach is proud of the fact that they have players who simulate to get decisions," the Scot added. "Coaches can't be proud if they have won the game that way. I certainly wouldn't be.
"We all agreed that education is the best way forward, from youth teams through to first team players. We all have a responsibility, particularly the players of today, on how it impacts on young people."
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