[proberts]

Sometimes there are employment-based green card paths that can help for those seeking asylum but whether going down this path would allow you to travel would depend in part on your immigration history - what your status was when you came to the U.S., when you/your parents applied for asylum, etc. If you haven't already, you should speak with an immigration attorney to look at all options, including those based on employment.

[nartho]

That would be an employment visa, not green card. It can lead to a green card in some cases but it's complicated (depending on the country of origin it can take an extremely long time)