Anyone can apply for asylum as long as you are  in the states for less then a year , regardless of your immigration status.you may have F1,J1,B1B2 whatver or even if you are illegal.

  For the recent arrivals, its an excellent opportunity to get the Green Card.Always remember guys, forthcomings days are going to be more diffcult for foreigners, so dont think too much, just grab a lawyer and apply