“Oh, may I die!”

You poor thing! Said in sympathy at someone's bad luck, or when melting over something cute.

Heard in the wild

پات شکسته؟ الهی بمیرم!

You broke your leg? Oh, you poor thing!

More terms of endearment

جیگرتو بخورم
jigareto bokhoram
“I'll eat your liver!”
You're so adorable I could eat you up. Said to small children and loved ones.
قربونت برم
ghorbunet beram
“May I be sacrificed for you.”
An all-purpose endearment and thank-you; Persian mothers say it a dozen times a day.
فدات شم
fadât sham
“May I become your ransom.”
I'd give anything for you. Also a warm thank-you or a fond way to end a phone call.
دورت بگردم
dowret begardam
“May I circle around you.”
A tender endearment, often used when comforting someone.