  An impressive feature of loop quantum gravity (LQG) is that it can elegantly
resolve both the big bang and black hole singularities. By using the
Newman-Janis algorithm, a regular and effective rotating self-dual black
hole(SDBH) metric could be constructed, which alters the Kerr geometry with a
polymeric function $P$ from the quantum effects of LQG geometry. In this paper,
we investigate its impact on the frequency characteristics of the X-ray
quasi-periodic oscillations(QPOs) from 5 X-ray binaries and contrast it with
the existing results of the orbital, periastron precession and nodal precession
frequencies within the relativistic precession model. We apply a Monte Carlo
Markov Chain (MCMC) simulation to examine the possible LQG effects on the X-ray
QPOs. We found that the best constraint result for the rotating self-dual
geometry from LQG came from the QPOs of X-ray binary GRO J1655-40, which
establish an upper bound on the polymeric function $P$ less than $6.17\times
10^{-3}$ at 95\% confidence level. This bound leads to a restriction on the
polymeric parameter $\delta$ of LQG to be 0.67.
