The Bayern Munich winger went to the ground after Rafael Marquez's reckless challenge in his own area in the dying minutes of the match to win his side the penalty that eventually saw them progress to the quarter-finals.
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"A world-class attacker like Robben takes advantage of a situation like that," Kahn told ZDF.
"If you are offered a chance like that, you can only be grateful and take it.
"An experienced attacker will not pass up on an opportunity like this. They are always looking for situations like this."
Robben admitted after the game that he did dive at one moment in the first half - though he insisted that the decisive penalty decision was just - and Kahn has stressed that the Dutchman would have been better to be less honest in the aftermath of the match.
"It's not the smartest thing to do to say something like that after the game," he noted. "It's best to keep quiet."
Netherlands meet Costa Rica in the quarter-finals on July 5.