Could anybody help me in this regard.

If a person get permanent resident status through asylum process.Can he be able to go to nepal after being a permanent resident here in US?

well..Iam not political asylum but as far as my knowledge you can't fly directly to nepal showing on your passport but you can fly to India and take a bus to nepal ( Night Bus Jindabad).

Good luck dude

One of my friends was applying for asylum status because Maoist threatened her family. Her application is in the process.

Now that Maoists are in main stream politics, I wonder what will happen to her application. What about those who already got asylum status. Technically they don't need asylum anymore.

Something to think about

Firstly i am surprised why was the Maoist threatening your friend's family?
There are millions of nepalis and i wonder why your friend's family were one those who were targeted. I thought Maoist were only looting and destroying property of corrupted nepali. Is your friend falls into this category i wonder?
Most likely people who applied for political asylum need to be shot.