According to you, you have done your part well by sending clear communication about your resignation through email and on the date on which you need to be relieved. They did not reply to your email, but they orally confirmed that you will be relieved as per your email.
Clarification Needed
But kindly answer my following points to have better clarity:
1. Why did you not ask your HR people to provide confirmation through email? What made you wait until the last date and be upset?
2. You mentioned it was communicated to your manager, but please clarify who communicated and how it was done. If they informed him/her via phone about your resignation, then it may be redundant to ask your manager for an explanation as he could claim he was unaware of your resignation.
3. Since you work closely with your manager, you could have inquired about your relieving date earlier. This way, he could have supported you in the process.
4. Is there any mention of Notice Period Pay in your appointment letter?
5. Can you discuss with your HR department the option of paying the notice period amount for the remaining days so they can proceed with your relieving process? They are likely to accept this proposal.
If you choose not to pay anything, then you can make the final decision and leave as you wish. You need not worry because they cannot prevent you from leaving as you have proof of the communication sent regarding your resignation. Since they did not respond, the decision is yours.
However, as Mr. Rohit mentioned, they might delay issuing the Experience/Relieving Letter or claim they will not provide it. Nevertheless, they are obligated to process your Full and Final settlement and settle any outstanding dues. They cannot deny you the Experience/Relieving Letter even after the completion of the 45-day notice period.
If they refuse to process the Full and Final settlement and do not clear your dues, even after agreeing that you will pay the notice amount for the remaining days, you can inform them that you will seek legal advice.
To be on the safe side, keep your new employer informed about this situation to ensure a smooth transition without any issues arising after leaving the current company.
Regards,
M. Kannan