The medical issue needs to be addressed immediately and separately from the transfer question, because that one is urgent. CCA facilities are required to provide medically necessary care, and cancer treatment falls squarely in that category. If your husband has a documented cancer diagnosis and is not receiving treatment, the facility is legally obligated to either provide it or transport him to an outside hospital or specialist. Most CCA facilities in Arizona have arrangements with nearby hospitals for exactly this kind of situation.
Call the facility directly and ask to speak with the counselor or the health services administrator. Be specific: state that your husband has a cancer diagnosis, that he is losing weight, and that you are concerned he is not receiving appropriate treatment. That conversation, delivered calmly and factually, puts the issue on the record and creates accountability. Ask what the process is for getting him seen by an outside specialist.
If internal channels are not producing results, the next step is a formal complaint to the Arizona Department of Corrections, which oversees the contract with CCA and has oversight responsibility for the facility's standards of care. An attorney who handles inmates' rights cases can also file on his behalf if the situation is genuinely being ignored.
On the transfer question, CCA facilities typically house overflow from other systems, and transfers happen on the contracting agency's timeline, not the inmate's or the family's. It is not something that can be demanded or quickly arranged. The cancer treatment is the fight worth having right now, and it is one you can actually win through the right channels.