Wilshere, who moved to West Ham on a free transfer this summer following his release from Arsenal, played in the number 10 position during his new team's 4-0 defeat to Liverpool at Anfield.
"I see Jack playing as a holding midfielder," Pellegrini told reporters. "He can give us very good build up and is a player who is always creating during the game.
"He's done very good in the Premier League. The length of time he was there [at Arsenal] reflects how good a job he's done."
West Ham will look to bounce back from the Liverpool defeat when they welcome Bournemouth to the London Stadium on Saturday afternoon.