  Using a purely analytic approach to gaseous and dark matter halos, we study
the cross-correlation between the Sunyaev-Zel'dovich (SZ) sky and galaxy survey
under flat sky approximation, in an attempt to acquire the redshift information
of the SZ map. The problem can be greatly simplified when it is noticed that
the signals of the SZ-galaxy correlation arise only from hot gas and galaxies
inside the same massive halos (i.e. clusters), and field galaxies make almost
no contribution to the cross-correlation. Under the assumption that both the
hot gas and galaxies trace the common gravitational potential of dark halos, we
calculate the expected cross SZ-galaxy power spectra for the WMAP/Planck SZ
maps and the SDSS galaxy sample at small scales $100<l<1000$. It turns out,
however, that it is not presently feasible to measure such small angular cross
power spectra because of the high noise levels at $l>400$ with the WMAP/Planck
experiments. Future SZ observations with better angular resolutions and
sufficiently wide sky coverages will be needed if this technique is applied for
the statistical measurement of redshift distribution of the SZ sources.
