Can AS6 code green card holder travel out side US?

Yes a AS6 category green card holder can travel to home country. Provided he feels safe to travel to his home country and he is not anymore fearful of the effects of going there.While you travel to your home country you are on your own and since you are not a US citizen the US government will not help if you are in trouble in your home country whatsoever. It may be considered fraud if you got green card through asylum in US and actually you really don't have any issues to fear in your home country.