Gnanduillet made his debut for the Spireites as a late substitute in Saturday's game at home to Southend United while Brindley was among the substitutes.
Manager Paul Cook will use the Belper match to give the pair some valuable match action.
Conor Townsend, who is on loan from Hull City until the end of the season, has also been included in the squad.
Other senior players in contention are Jack Lester, Mark Randall, Scott Boden and Jacob Hazel.
Squad: Barrington, Brindley, Townsend, Broadhead, Whittaker, Randall, Wafula, Boden, Lester, Gnanduillet, Hazel, Scully, Noel, Slack, Fereday, Bowland, Hewitt.
The match kicks off at 7.45pm and admission is £3 (adults) / £1.50 (concessions).