Fox TV and 20th Century Fox do not sponsor H-1B but you can try Directv. Under the Newscorp umbrella, there are 2-3 brands sponsoring work visa and it seriously depends on which company you are in. It's very hard to get career satisfaction by working in the production sectors of studios coz' news coverage requires superb written and spoken skills unless you have extradinary technique skills such as photography or audio-recording. Based on my own experience of working there, I believe the language and communication skills needed is not just excellent but better than most of the native speakers if you are officially working there.