We present LTRANS-Zlev, a new version of the off-line Lagrangian ocean particle-tracking model LTRANS, made compatible with a Z-coordinate (constant-depth layers) discretization of the hydrodynamic equations, in addition to the original sigma-coordinate (terrain following, variable-depth layers) configuration. Several additional features have been implemented in LTRANS-Zlev, including backward-in-time particle tracking, stranding at prescribed distances from the coast, customizable larval behavior and oil spill weathering using the OILTRANS module. The code is written in FORTRAN 90, parallelized with OPEN-MP directives and it is freely available under a Massachusetts Institute of Technology (MIT) license. LTRANS-Zlev has been initially tested by using the output of the Z-coordinate MIT general circulation model (MITgcm) for an idealized case-study describing a cyclonic gyre in a mid-latitude closed basin. Moreover, several other case-studies in the Adriatic Sea have been investigated simulating larval behavior, for connectivity analysis and oil spill modeling.