As a simple model of an anisotropic orientational glass with short range forces, the 3-state Potts model on the simple cubic lattice with nearest neighbor interactions drawn from a Gaussian distribution is considered. With Monte Carlo methods we study the response of the system to a uniform “field” which favors one of the states. This is motivated by experiments which apply stress that favors one molecular orientation of the quadrupolar glass. The responsem to that fieldh=H/kBT is analyzed in terms of an expansionm= χ1h+χ1h2+χ1h3+..., where χ1 is the linear susceptibility, and χ2,χ13 are nonlinear susceptibilities. Unlike the case of spin glasses, where the spin inversion symmetry of the system in the absence of fields implies χ2≡0,χ2 is nonzero here and diverges to −∞ at the zero temperature transition of the model, while χ3 diverges to +∞ as in spin glasses. At inifinite temperature, however, χ1=1/3, χ2=1/18 and χ3=-1/54, i.e. the nonlinear susceptibilities have a different sign as at low temperature. In contrast, a random field does not induce a uniform order parameterm but only a glass order parameterq. The temperature dependence of this glass order parameterq(T) shows for intermediate field strength order parameterq(T) shows for intermediate field strength a maximum of the slopedq(T)/dT very similar to corresponding experiments.