In this paper the error estimates are derived for Lie-Trotter operator splitting spectral method for semiclassical linear fractional Schrödinger equation. We first establish a priori estimates for the solution in fractional Sobolev space. On the basis of these a priori estimates, we obtain local error bound for the well-known Lie-Trotter splitting operator associated with the linear fractional Schrödinger equation in the semiclassical regime by using a formula for the fractional Laplacian of the product of two functions. The convergence orders of the fully discrete scheme based on Fourier spectral methods for the space approximation are then analyzed and provided with respect to the time step-size Δt and the small (scaled) Planck constant ε. As far as we know, this is the first rigorous proof of local error estimate for an semi-discrete operator splitting method for semiclassical fractional Schrödinger equation. Computational experiments confirm the theoretical results.