The role of the neutron-proton asymmetry (isospin) in the de-excitation of excited nuclei is investigated by studying the isospin dependence of the Ar+Ni fusion-evaporation cross sections. Compound nuclei of Pd, with mass number varying from 92 (close to the limit of stability for proton emission) to 104 (stable), are produced with the same excitation energy (~3 MeV/nucleon), impinging stable and radioactive Ar beams with energies around 13 MeV/nucleon on to isotopically enriched Ni targets. The de-excitation products are collected by the VAMOS magnetic spectrometer and the 4pi charged particle array INDRA. The study shows a decrease of the Ar+Ni fusion-evaporation cross section as the isospin of the system decreases, suggesting that the deexcitation of excited Pd nuclei is influenced by their neutron-proton asymmetry. Also, a larger decrease is observed for the N = Z 92Pd nucleus, explained as the opening of a new de-excitation channel (multifragmentation).