@Bheesham Kumar Currently, it isn't possible to publish Application Insight Dashboard on a publicly accessible web URL. One workaround for it is to export the data from Application Insights to PowerBI and publish the PowerBI report to public.
Here are few references on how to achieve it via PowerBI
I also would recommend you to navigate here and share your feedback or suggestions directly with the responsible Azure feature team and clicking the vote button of your suggestion to raise visibility and priority on it.