We generalize the original derivation of transparent, static Schrödinger potentials by Kay and Moses, to obtain a large class of time-dependent transparent Dirac potentials in one spatial dimension. They contain previously found transparent potentials as special cases and play a key role in the semiclassical solution of the (1+1)-dimensional, fermionic quantum field theories of Gross-Neveu and Nambu–Jona-Lasinio types.