From a regulatory standpoint, can a hospital lab also perform testing on animal samples?

I worked in several hospital laboratories that performed analyses for veterinarians, all of which were CAP accredited.  I would contact your regulatory agency directly (CAP/COLA/CLIA/unsure what is available in your country) and request compliance guidelines or checklists to ensure you have all your documentation before implementing non-human testing.  The labs I worked with had analyzer set up to simply return numbers and the vet was responsible for interpreting the results.  We did no slides on Hematology specimens, either.