  Substantial populations of massive quiescent galaxies at $z\ge3$ challenge
our understanding of rapid galaxy growth and quenching over short timescales.
In order to piece together this evolutionary puzzle, more statistical samples
of these objects are required. Established techniques for identifying massive
quiescent galaxies are increasingly inefficient and unconstrained at $z>3$. As
a result, studies report that as much as 70\% of quiescent galaxies at $z>3$
may be missed from existing surveys. In this work, we propose a new empirical
color selection technique designed to select massive quiescent galaxies at
$3\lesssim z \lesssim 6$ using JWST NIRCam imaging data. We use
empirically-constrained galaxy SED templates to define a region in the
$F277W-F444W$ vs. $F150W-F277W$ color plane that captures quiescent galaxies at
$z>3$. We apply this color selection criteria to the Cosmic Evolution Early
Release Science (CEERS) Survey and identify 44 candidate $z\gtrsim3$ quiescent
galaxies. Over half of these sources are newly discovered and, on average,
exhibit specific star formation rates of post-starburst galaxies. We derive
volume density estimates of $n\sim1-4\times10^{-5}$\,Mpc$^{-3}$ at $3< z <5$,
finding excellent agreement with existing reports on similar populations in the
CEERS field. Thanks to NIRCam's wavelength coverage and sensitivity, this
technique provides an efficient tool to search for large samples of these rare
galaxies.
