This is a randomized, double-blind, multi-center, parallel group study designed to compare the safety and efficacy of a range of doses of ZP-Zolmitriptan intracutaneous microneedle systems to placebo. Subjects who have consented and meet the entry criteria will be randomized to one of four blinded treatment groups. There will be a screening period of up to 1 week, followed by a run-in period to record migraine activity. The run-in period is to determine eligibility for randomization, and is planned to be 4 weeks in duration but may be extended up to an additional 4 weeks to accommodate scheduling. Qualified subjects will randomize to the double-blind treatment period at Day 0 and will have up to 8 weeks to confirm and treat a qualifying migraine. Using the eDiary to confirm they are experiencing a qualified migraine, subjects will self-administer the patch or patches and continue to respond to questions in the eDiary for 48 hours post treatment administration.