New H1b when previous H1 appeal pending

Hi, My previous H1 case was denied in 2012 and employer had filed appeal for it which is pending since 5 months now. Can I file new H1 through different employer in 2013? and do I need to withdraw the appeal right now or it can be kept running in parallel with the new petition until anyone of them gets approved? Many thanks!

Another petition can be filed w/o withdrawing the current appeal.

Hi Saurabh

I am currently in US on H4. My H1b application this year was denied. Now my company is applying for an appeal. I wanted to check if it is ok to travel outside of the US while the appeal is in progress. I do not wish to be stopped at the point of entry while returning.

Please advice. I need to need to decide urgently.