It is confusing whether the process of PERM has just started or you filed for I-485? If the company just started the process, travel on H-4 should not be a problem. However if I-485 is filed and advance parole document sought, discuss this option with your attorney.
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I would check with your employer's immigration lawyer. Good luck to you.
Dean P. Murray
The Murray Law Firm
560 Sylvan Avenue
Englewood Cliffs, NJ 07632
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No, you need to ask for and get an advance parole and you can even accompany your wife.
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