  We present an independent examination of the parallax zero-point of the Third
Gaia Early Data Release (hereafter EDR3), using the LAMOST primary red clump
(PRC) stellar sample. A median parallax offset of around $26 \mu$as, slightly
larger than that found by examination of distant quasars, is found for both the
five- and six-parameter solutions in EDR3, based on samples of over 63,000 and
2000 PRC stars, respectively. Similar to the previous investigation of
Lindegren et al., to which we compare our results, the parallax zero-point
exhibits clear dependencies on the $G$ magnitudes, colors, and positions of the
objects. Based on our analysis, the zero-point of the revised parallax can be
reduced to a few $\mu$as, and some significant patterns, e.g., discontinuities
with stellar magnitude, can be properly removed. However, relatively large
offsets ($> 10 \mu$as) are still found for the revised parallaxes over
different positions on the sky.
