A question of what you really want to do and what you really want to extract by means of the refinement. Such a refinement means that you refine parameters while upon fitting a calculated pattern to the measured pattern. The original purpose of what the GSAS software has been made for is the Rietveld refinent, to determine in particular atomic structure parameter affecting the structure factor and thus to arrive at a "refined" atomic structure model of the material under consideration. Is your material one with a novel/new crystal structure or with some details, where such a refinement gives insight?

If this is the case it depends very much: If your texture is "weak" (001) than you have a chance by applying March-Dolase or Spherical Harmonics correction functions with further refined coefficients to perform such a Rietveld refinement. If your texture is is severe, I claim that you have no chance. In lucky cases, you might refined free z parameters of your atomic coordinates.

But there are also other cases where you might want to do a refinement:

-confirmation of a structure model in the literature by demonstrating that a good fit can be achieved

-determine lattice parameters

This can be done with the described method, or if you go over to a LeBail/Pawley fit. For lattice parameters beware that the information about the lattice parameters a and b may be limited in case of severe texture, and also residual stress may affect what you refine as lattice parameters.

A question of what you really want to do and what you really want to extract by means of the refinement. Such a refinement means that you refine parameters while upon fitting a calculated pattern to the measured pattern. The original purpose of what the GSAS software has been made for is the Rietveld refinent, to determine in particular atomic structure parameter affecting the structure factor and thus to arrive at a "refined" atomic structure model of the material under consideration. Is your material one with a novel/new crystal structure or with some details, where such a refinement gives insight?

If this is the case it depends very much: If your texture is "weak" (001) than you have a chance by applying March-Dolase or Spherical Harmonics correction functions with further refined coefficients to perform such a Rietveld refinement. If your texture is is severe, I claim that you have no chance. In lucky cases, you might refined free z parameters of your atomic coordinates.

But there are also other cases where you might want to do a refinement:

-confirmation of a structure model in the literature by demonstrating that a good fit can be achieved

-determine lattice parameters

This can be done with the described method, or if you go over to a LeBail/Pawley fit. For lattice parameters beware that the information about the lattice parameters a and b may be limited in case of severe texture, and also residual stress may affect what you refine as lattice parameters.