If my husbad sings voluntary deportation, does he have a better chance of coming back?

Your husband may be an aggravated felon. If so, he can never come back. You must contact an immigration attorney that handles criminal cases too. Let us know if we can help.

You need to discuss this case with an experienced immigration lawyer. We need to assess if he can seek to readjust, or whether he has any other relief available.

Your husband may be eligible for relief form deportation. You should consult with an experienced immigration attorney before your husband accepts voluntary departure. You first want to first see whether the U.S. government will be able to demonstrate that conviction actually renders him deportable. He can always request voluntary departure before an immigration judge at a later point. Don't let ICE pressure him to agree at an early stage without him knowing his options.

Voluntary departure is certainly better than having an executed order of deportation. You should get all the arrest, charging and disposition documents for the criminal case and consult with an immigration attorney to see if he can re-apply for the green card.