The disturbing remains were left on the corner of Back Annis Road and back Bushell Street.
The ward concillor says he has been inundated with calls by local residents about the burnt remains, on what seems to be a makeshift rotisserie spit.
Cllr Abdul Atcha says he has received calls over the past for four days with concerns about the animal, which appears to be a pig, being dumped in Deane.