We investigate electron wave-packet transport in monolayer graphene subjected to photonic-crystal-inspired electrostatic superlattices composed of periodically arranged circular barriers and wells with zero net potential. Using the time-dependent Dirac equation combined with a split-operator propagation method, we systematically examine how lattice geometry, barrier–well ordering, propagation direction, carrier energy, and scatterer radius govern transient dynamics and long-time transmission behavior. Three representative superlattice configurations are analyzed: square, staggered, and triangular superlattice. While all systems exhibit a universal temporal evolution characterized by an initial transient regime followed by transmission saturation, the saturated transmission strongly depends on structural geometry and propagation direction (i.e., forward and backward). In particular, square and triangular lattices display pronounced directional asymmetry, whereas the staggered configuration serves as an isotropic system in both forward and backward directions. By introducing the normalized asymmetry coefficient η, we demonstrate that both the magnitude and sign of directional preference can be controllably tuned–and even reversed–through variations in electrostatic potential strength and incident wave-packet energy. These findings establish circular electrostatic superlattices as a versatile platform for geometry-programmable Dirac-fermion transport, opening pathways toward graphene-based directional filters, tunable energy-selective transport elements, and advanced electron-optical devices.