Holden picked up the injury in a tackle with Manchester City midfielder Nigel de Jong.
Rodwell was shown a yellow card by referee Dowd for a reckless lunge on Nigel de Jong.
Goals from Nigel de Jong and Mark van Bommel helped the Dutch seal their trip to next year's showpiece event.
Dutch Coach Bert Van Marwijk has enjoyed great success by starting with a defensive midfield partnership of Mark van Bommel and Nigel de Jong.
This was demonstrated early on when the visitors lost Ben Arfa - who has impressed since joining on loan from Marseille following a strong challenge from Nigel De Jong.
Within 10 days of Mancini taking over from Hughes in December 2009, Joleon Lescott, Sylvinho, Roque Santa Cruz, Stephen Ireland, Shaun Wright-Phillips, Micah Richards and Nigel De Jong all picked up injuries.
This debate has crystallized around the defensive midfielder Nigel de Jong, whose chest-high tackle on Spain's Xabi Alonso in South Africa was the iconic image of the country's World Cup final defeat.
Dutch enforcer Mark van Bommel was booked after going through the back of Iniesta, while Nigel de Jong was lucky to escape red after planting his foot in the chest of Xabi Alonso.
Manchester City midfielder Nigel de Jong, who was dropped from the squad for last month's Euro 2012 qualifiers against Moldova and Sweden as punishment for his tackle which broke Hatem Ben Arfa's leg, has again been excluded.
Seconds later, referee Hector Baldassi waved away penalty claims as Yuto Nagatomo went down under a challenge from Manchester City midfielder Nigel de Jong and the Dutch clung on to achieve maximum points from their opening two fixtures.
It was perhaps some comfort for Micah Richards, who had to be stretchered off moments before the goal with a head injury and was later taken to hospital with concussion after clattering into his team-mate Nigel de Jong when trying to clear the ball.
The incident came after Wenger used his programme notes to call for talks between managers and referees to clarify rules on tackling after a spate of unsavoury incidents this term - most notably tackles by Manchester City midfielder Nigel de Jong and Wolves defender Karl Henry.
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