The England international has been missing in past weeks after suffering a recurrence of an ankle injury that kept him out of action for over a year.
However, Wilshere, who could make his comeback for the Gunners this weekend in the wake of their impressive 2-1 win at West Bromwich Albion on Saturday, is the driving force that could earn the North Londoners a Champions League spot, according to Graham.
"Jack Wilshere is one of the few world class players in the team," Graham told talkSPORT. "He was out for so long and they missed him.
"He's not only got wonderful technical ability, but he's a natural winner. They need that drive from midfield, without question."
Arsenal host Norwich City on Saturday.