The present study focuses on the rotational motion of HCl molecules embedded in an Ar matrix. Assuming the HCl molecules to occupy substitutional sites in the fcc lattice, rotational wavefunctions for the vibrational and electronic ground state are obtained. Both the energetics and the spatial structure of the wave functions are investigated. While the J=0 and J=1 state show relatively little matrix effects, all levels for J>=2 are split. A possible control of the photodissociation dynamics by selection of rotational states of different spatial orientation is discussed.