When the foreigner spouse initiated the divorce, the Filipino can re married. But if the Filipino spouse initiated the divorce in the US, the Filipino spouse cannot remarried. The only way that the filipino spouse can remarry is when she files for a petition for nullity of marriage or annulment in the Philippine courts ( at kung granted)
Now if the foreigner spouse initiated the divorce proceedings, what the filipino spouse can do it to file a petition for recognition of foreign divorce. This is a court proceedings. If the foreign divorce will be recognized, the Filipoino spouse needs to follow up this decision with the local civil registrar where they had their marriage registered and further with national statistics office. This is important so that in the marriage contract between the foreigner spouse and filipino spouse there would exist an annotation that the marriage has been legally terminated. Also important so that in the CENOMAR of the filipino spouse, it would now indicate the marriage has been terminated thus available to remarry.