As far as I know, Hortobagy National Park explored the possibility of introducing saigas, and it was established by Russian experts, that it would not work. I did a check on the flora, and it is very similar to the Kazakh steppes, so that would be OK. Loads of food plants. The climate has however become too mild for them. Saigas don't do well in mild winters. They can tolerate extreme weather conditions, but they need mostly dry soil. They have small hooves, spindly legs, and a heavy body. Like many other leggy ungulates, they get easily injured if their hooves break through a thin layer of ice (like after a warmer spell in the winter). Waterlogged soil also has a high bacterial count, and saigas are very sensitive to gastro-intenstinal infections.
Safari parks in dry climates would be OK, but you'd need a huge grassland area for them to really thrive. In Askania Nova, I saw that they can get used to slowly moving vehicles. Groups of people walking will spook them. They are very flighty and easily stressed. In large enclosues, they can gain considerable speeds, so a collision with a hard fence will be fatal. The area needs to be the small, or very big. A lot of thought and attention would have to go into their enclosure and fence design, and even that won't be a clear solution.