if one parent is illegal and undocumented is that parent able to get full custody of the child?

Question

if one parent is illegal and undocumented is that parent able to get full custody of the child?

Answer

Yes. Family court is blind to immigration status. However, unless the other parent is totally unfit, as in Child Protective Services would step in if they were the only parent, neither parent is very likely to get full custody unless the other one agrees.

Answer

If there is a legitimate concern the parent plans to flee the united states with the child, that would justify restraining orders or a possible custody change.