An emergency method of using localized mechanical percussion for enhancing clearance of potentially life threatening acute thrombotic arterial obstructions blocking blood flow to vital internal organs such as the heart or brain of a patient, employing the application of non-invasive localized low frequency mechanical percussion at a frequency between 1 Hz-1000 Hz and a stroke or displacement amplitude in the range of 0.1-10 mm upon a targeted external body surface deemed generally proximate such acute thrombotic arterial obstruction, whereby the percussion accelerates the emergency clearance of the acute thrombotic arterial obstruction in restoration of blood flow to the vital internal organ. Preferred methods for percussion delivery to the chest wall/upper back or head/neck of a patient are described for use in treatment of heart attack or acute ischemic stroke respectively.