USCIS has not stopped working. The United States Citizenship and Immigration Services is open and working on your visa application.
Only the public dealing offices have been closed to avoid the spread of Coronavirus.
Many people on H1B, H4, and others are worried due to the US embassy’s decision to cancel all US visa appointments in India.
There is no need to worry and your pending H1B extension will be approved soon. The USCIS processing time might be affected and may see an increase due to the Coronavirus hiccups.
All USCIS service centers at California, Vermont, Nebraska, Texas, and other places are open and processing your extension, change of status and other non-immigrant applications.
I expect to see an increase in overall H1B processing times due to Trump’s COVID-19 national emergency.
At this time, the H4 EAD, L2 EAD, and other non-immigrant applications should see an increase in processing times if they are dependent on H4 or L2 biometric.
File New Extensions, Transfer, Change of Status
You can file your H1b extension, transfer or amendment, i485 green card adjustment of status, H4 EAD, F1 extension or any other application normally.
USCIS is open and will accept your application.
Note that extension application should be filed before i94 expiry. USCIS may not give relaxation later if you fail to file as USCIS is open.
USCIS Coronavirus Asylum Inquiries
As reported by AILA, USCIS has closed its Asylum offices for in-person inquiries but will continue to work on applications in their back offices.
There is no official news from USCIS about any processing stops. As a matter of fact, USCIS is working on allowing its employees to work from home.