The Dutchman is currently stalling over putting pen-to-paper and extend his stay in North London with his current deal expiring in 18 months time.
Van Persie has been in superb form for the Gunners so far this season since taking over the captains armband from the recently departed Cesc Fabregas.
Despite his current stance Hill-Wood is unconcerned about the matter and insists both club and player will sit down at the end of the season and discuss terms.
He said: “He doesn’t want to talk about it at the moment and we are not troubling him.
“I think we will approach him near the end of the season.
“But we obviously hope that he will sign a new contract – I don’t see why he should not.” Hill-Wood added.
“I can’t believe he is unhappy with us.”
Boss Arsene Wenger is keen to tie the 28-year-old down after his storming start to the season that has seen him score 11 goals in as many Premier League games.
However that goalscoring record has attracted interest from around Europe with Italian giants Inter Milan reportedly set to test the Frenchman’s resolve to keep Van Persie with a bid when the transfer window opens in January.