  We have synthesized single crystals of CeZnAl$_3$, which is a new member of
the family of the Ce-based intermetallics Ce$TX_3$ ($T$ = transition metal,
$X$= Si, Ge, Al), crystallizing in the non-centrosymmetric tetragonal
BaNiSn$_3$-type structure. Magnetization, specific heat and resistivity
measurements all show that CeZnAl$_3$ orders magnetically below around 4.4 K.
Furthermore, magnetization measurements exhibit a hysteresis loop at low
temperatures and fields, indicating the presence of a ferromagnetic component
in the magnetic state. This points to a different nature of the magnetism in
CeZnAl$_3$ compared to the other isostructural Ce$T$Al$_3$ compounds.
Resistivity measurements under pressures up to 1.8 GPa show a moderate
suppression of the ordering temperature with pressure, suggesting that
measurements to higher pressures are required to look for quantum critical
behavior.
