Van Persie played only 15 minutes of Netherlands' friendly against Italy on Saturday as a tackle from Giorgio Chiellini left the striker writhing in pain and he was taken off on a stretcher. However, Van Persie said of the challenge: "There was no intent."
Medical examinations have revealed that Van Persie has partially ruptured a ligament in his right ankle but it is believed that the Dutch Football Assocation feels that surgery will not be required.
Van Persie has excelled as a lone striker in Arsenal's new 4-3-3 formation this season, scoring seven goals and claiming seven assists in 11 Premier League games.
With Nicklas Bendtner currently sidelined for a few weeks after undergoing groin surgery, the burden of leading Arsenal's front-line is likely to fall to Eduardo, who has started only three league games this season.