As far as I know they don't accept anyone for employment that isn't a citizen or who already has the right to work.
What exactly does the H1 give you the right to do?
If it involves them having to petition the INS I would doubt that they will do anything with it. As things stand they still have enough employment applications from people able to work who have the necessary paperwork or who are US citizens - although the way things are going with pilot recruitment that may change.