To be eligible in California to use the head of household status the taxpayer must meet all of the following:
If your child did not live with you in your home for more than half the year the HOH is not allowed for you. The Form 8332 to ONLY allow you to be able to claim the child as your dependent. The Form will not make you eligible for HOH if the child was not physically in your home more than half the year.
I hope this information clears up the use of Form 8332,