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The battery backup is only 15 minutes. Where can I find replacement battery (original or third party)? It’s a 350mah 3.7V Li-Po Battery (MPN:616-0407). Can any battery with these specifications work for my iPod or I have to check its dimensions? I live in India.

Swati Jain the APN numbers is correct at 616-0407 You do not need the dimensions if you order by that number. Apparently a 616-0467 will fit as well. Since you are not in the USA iFixit sadly enough cannot send those batteries overseas. That means you would have to find a vendor that does. Ali express has those batteries as well and should ship to India. We can of course not speak for the quality etc. of those batteries. iPod Nano 4th Generation Battery Replacement