Italy is not straight forward when it comes to the work visa/permission to stay/citizenship issue. If someone would like to come and practice Chiropractic in Italy the easiest way would be if they have European citizenship or an Italian passport (or be married to an Italian citizen). Otherwise, look to the Italian Chiropractors Association for help, along with trying to find other non-Italian Chiropractors that have recently moved to Italy and pick their brain.
Chiropractic in Italy is not regulated or protected. At the time of writing (Feb 2017) visas are not being given (unless the seeker or the employer knows somebody in the local immigration office). The profession was at risk due to a new law in the making trying to down regulate Chiropractic to a technical profession like physical therapy or dental hygienist. Now that the government has failed AGAIN I'm not sure where that leave the law (which had passed the Senate already). There is a current law on the books 2007 that says chiropractic can be practiced in a private in hospital settings. However, the law also included that a register would be set up within six months of the application of the law to list qualified chiropractors. That was nine years ago and nothing has been done about it. Since there is no authority figure that really "knows" what chiropractic can and cannot do legally, it's probably best that the chiropractor visit the local health department. For example, in some areas the health department requires that you have a health director (MD) in my office. Many chiropractors have adopted this as an added security that they can continue to practice. Others work under a medical doctor to avoid paying the VAT tax. Still others have gotten other degrees and they practice under those degrees: MD, PT or massage therapist.