  We investigate the environmental dependence of the mass-metallicity relation
at z=2 with MOSFIRE/Keck as part of the ZFIRE survey. Here, we present the
chemical abundance of a Virgo-like progenitor at z=2.095 that has an
established red sequence. We identified 43 cluster ($<z>=2.095\pm0.004$) and 74
field galaxies ($<z>=2.195\pm0.083$) for which we can measure metallicities.
For the first time, we show that there is no discernible difference between the
mass-metallicity relation of field and cluster galaxies to within 0.02dex. Both
our field and cluster galaxy mass-metallicity relations are consistent with
recent field galaxy studies at z~2. We present hydrodynamical simulations for
which we derive mass-metallicity relations for field and cluster galaxies. We
find at most a 0.1dex offset towards more metal-rich simulated cluster
galaxies. Our results from both simulations and observations are suggestive
that environmental effects, if present, are small and are secondary to the
ongoing inflow and outflow processes that are governed by galaxy halo mass.
