We prove a multiplier theorem for the Hermite-Triebel-Lizorkin spaces introduced by Epperson in [Studia Math. 114 (1995), 87–103]. This extends Thangavelu’s theorem [Revist. Mat. Ibero 3 (1987), 1–24; Math. Notes, vol. 42, 1993] on Hermite multipliers for
L
p
L^p
spaces. We also prove an
L
p
L^p
boundedness result for a class of Hermite pseudo-multipliers.