Arsene Wenger announced on Monday that Jack Wilshere would miss the rest of the season, having not kicked a ball for the Gunners since suffering a recurrence of an ankle injury in a friendly against New York Red Bulls on July 31.
"Key players have been out for long, long periods. It is something I would have a look at, the medical side of the club.
"What sort of injuries are they? If they are contact injuries, there is not a lot you can do about it but if they are having strains and pulls they have got to have a look at that aspect of the club."
Graham was in charge at Arsenal between 1986 and 1995, winning six major honours.