We report on a systematic investigation of the \gamma -ray properties of 120 hard X-ray–selected Seyfert galaxies classified as ‘ radio-quiet ’ objects , utilizing the three-year accumulation of Fermi –LAT data . Our sample of Seyfert galaxies is selected using the Swift –BAT 58-month catalog , restricting the analysis to the bright sources with average hard X-ray fluxes F _ { 14 - 195 { keV } } \geq 2.5 \times 10 ^ { -11 } { erg } { cm } ^ { -2 } { s } ^ { -1 } at high Galactic latitudes ( |b| > 10 ^ { \circ } ) . In order to remove ‘ radio-loud ’ objects from the sample , we use the ‘ hard X-ray radio loudness parameter ’ , R _ { rX } , defined as the ratio of the total 1.4 GHz radio to 14 - 195 keV hard X-ray energy fluxes . Among 120 X-ray bright Seyfert galaxies with R _ { rX } < 10 ^ { -4 } , we did not find a statistically significant \gamma -ray excess ( TS > 25 ) positionally coincident with any target Seyferts , with possible exceptions of ESO 323–G077 and NGC 6814 . The mean value of the 95 % confidence level \gamma -ray upper limit for the integrated photon flux above 100 MeV from the analyzed Seyferts is \simeq 4 \times 10 ^ { -9 } { ph } { cm } ^ { -2 } { s } ^ { -1 } , and the upper limits derived for several objects reach \simeq 1 \times 10 ^ { -9 } { ph } { cm } ^ { -2 } { s } ^ { -1 } . Our results indicate that no prominent \gamma -ray emission component related to active galactic nucleus activity is present in the spectra of Seyferts around GeV energies . The Fermi –LAT upper limits derived for our sample probe the ratio of \gamma -ray to X-ray luminosities L _ { \gamma } / L _ { X } < 0.1 , and even < 0.01 in some cases . The obtained results impose novel constraints on the models for high energy radiation of ‘ radio-quiet ’ Seyfert galaxies .