I would like to fetch from youtube api my actual quota limit. Is there any possibility for this? When I open up this page: https://code.google.com/apis/console/b/0/?noredirect&pli=1#project:376690840287:quotas I see my limit, but how can I get this?
No such Historical Quota Usage API exists.
You should avoiding quota issues as suggested at https://youtube-eng.googleblog.com/2010/02/best-practices-for-avoiding-quota-issues_9.html