As far as I understand from your explanation, you want to send push notification to all device when a new row is inserted. To do this, you can use Parse Cloud function and trigger this function when a new row is inserted. Another way (it is not clear from your explanation), you can use Parse Cloud afterSave function. When a new row is inserted to a class, afterSave function is triggered by Parse. So you can send Push notification in afterSave function. Hope this helps.
solved Parse.com Send auto push notification on new data [closed]