Work for India company while H4 COS/EAD is pending

My F1 visa expired and I applied for H4-COS and H4-EAD in April. But I didn’t even receive biometrics appointment till now. Given that it’s taking really long to process cases now, is there any way I can work staying in the USA?

I’m wondering if my company puts me on internal transfer to India[same company with India pay], will I able to work from here[US] till my H4 is accepted by USCIS.

You cannot work until you get H4 EAD card in hand.
No, that is wrong thing to do. You will be working illegally. Even you are in India payroll, on paper you are still residing in US and working in US.