please, my account is been restricted by the Fiverr support team for using a template from the google on my gig. please Did anyone knows how long my account will be free from this restriction and will my denied gigs be active back
No one on the forum can tell you that, only fiverr CS will be able to answer that question.
And there is no guarantee that you will get your account back. If your account is under review and if fiverr team will find that you indeed broke rules then they will block your account permanently.
Is there anyway to save my account?
No if you indeed broke the rules. Only fiverr can decide if they will block your account or not.