Hi, I'm undergoing my anesthesiology training right now. I don't know if it's hard per say but it's definitely a long journey. You first have to get into medical school and survive it for 4 years before applying to anesthesiology residency programs and then undergoing further training for 4 years +/- fellowship. In your case, I'm not going to say it's impossible to get into medical school but it will be extremely hard if you don't have at least a green card or permanent resident status. Most schools, especially state medical schools, will not take international students because that's not in their mission. You can apply to private medical schools but that's also really hard as the competition are usually even steeper. You have to have really good scores for them to even consider you. Sorry if it sounds harsh but that's the reality for international students. I hope the best for you.