Compact binaries in hyperbolic orbits are plausible gravitational-wave (GW) sources for the upcoming and planned GW observatories. We develop an efficient prescription to compute post-Newtonian (PN)-accurate ready-to-use GW polarization states for spinning compact binaries, influenced by the dominant-order spin-orbit interactions, in hyperbolic orbits. This is achieved by invoking the 1.5PN-accurate quasi-Keplerian parametrization for the radial sector of the orbital dynamics. We probe the influences of spins and the gravitational radiation reaction on h+ and h× during the hyperbolic passage. It turns out that both polarization states exhibit the memory effect for GWs from spinning compact binaries in hyperbolic orbits. In contrast, only the cross-polarization state exhibits the memory effect for GWs from nonspinning compact binaries. Additionally, we compute 1PN-accurate amplitude corrected GW polarization states for hyperbolic nonspinning compact binaries in a fully parametric manner and perform initial comparisons with the existing waveforms.