The Lactics recorded their first victory of the season on Saturday against Southampton but Martinez believes that it is time for other members of his squad to stake a claim for a spot in the starting lineup for future matches.
"You're going to see a lot of players given an opportunity to show what they can do and that is a competitive edge we have in this group," the Spaniard told reporters. "It's a great opportunity to share the demands.
"You've got a few players that have been working really well in pre-season and they've no reward yet and I think it's important that everyone is ready.
"It's an opportunity for some other players to show what they can do and show that they can have a massive say this season."
Wigan are rumoured to be interested in signing Lee Chung-Yong from Bolton Wanderers before the close of the transfer window on Friday.