The Netherlands are scheduled to play against Japan on Saturday before hosting Colombia next Tuesday, having already secured their passage into the World Cup next summer.
Louis van Gaal's side will, however, will be without the services of Van Persie, who will be given time to recuperate from the problems with fitness he is currently enduring.
Van Persie sustained a suspected broken toe during Manchester United's draw away to Shakhtar Donetsk in the Champions League last month, but scans revealed there was no visible fracture.
Manchester United administered an injection for the next encounter with Sunderland, but Van Persie has since refused any painkillers due to fear of making the injury worse.
He has since played through the pain barrier and, although the problem has appeared to have given him little discomfort of late, Van Persie has been withdrawn from international duty as a precaution.
The 30-year-old was substituted late on during Manchester United's win over Arsenal at Old Trafford on Sunday, during which he scored the only goal, but this was thought to be a tactical decision rather than one prompted by injury.