Hi, sorry for the lateness of this response, but I just found your post doing a keyword search on Istanbul. (I'm homesick, what can I say?)
I think one major hurdle, maybe you've considered, is the language barrier. You're not likely to find many Turkish nurses who are fluent in English. I've a good friend who is a PhD prepared nursing lecturer and even her English is not what I'd call fluent. The nursing practice is very different in Turkiye, and differs greatly between the state hospitals and the private hospitals. I've talked to Turkish nurses in Istanbul and told them about nursing here in the US, believe me they are *not* interested in becoming Americanized. They make a decent wage, maybe not so much as American nurses, but they don't take on the responsibility that we do, either.
I went over there with the attitude of "I'm an American nurse, I can teach them something." LMAO now, 'cause it ain't so. I met a Harvard grad who is in admin now, she tried to get the nurses at her hospital to be interested in "the American way." They had absolutely no interest whatsoever. I'd be very interested in seeing the Turkish way exported here, though. The doc is the bottom line. If he screws up, it's on him, not the nurse. The nurses (in private hospital) have 3 patients, sometimes less on general wards. ICU patients are1:1 on all shifts, with techs to help. They have regular breaks, eat meals, and are actually happy. There's no such thing as a nursing shortage, at least in Istanbul.
I was fortunate enough to have my son at Acibadem Hastanesi, a private hospital affiliated with Harvard. I had a nurse all to myself, more patient ed than I could shake a stick at, and the best hospital food I've ever eaten. And the cost was far less than major surgery and a three-day-stay at any US hospital.
Go to Istanbul, but have fun. See the Kapali Carsi, Aya Sofia, Sulemaniye, take the Bosphorus tour, and all that. Don't compare the healthcare system, you'll only make yourself crazy with jealousy. LOL Happy to answer any questions about healthcare in general in Istanbul.