Emery introduced a pool of five captains following his appointment last year but out of his original choices, Laurent Koscielny, Petr Cech and Aaron Ramsey have left the club.
Midfielder Granit Xhaka has so far worn the armband in the Premier League this season but is yet to convince in the role and was jeered by his own fans during the weekend win over Aston Villa, while the peripheral Mesut Ozil is the only other member of the initial five still at the club.
Holding revealed that Spanish coach Emery recently conducted a poll of the dressing room.
"He likes his five captains. We all did a vote the other week so we'll see what happens and see who gets named," said Holding.