Can I stay and work in America without a green card?

You can't stay and work in America without a green card. Long-term residents of the United States need to obtain a US residence permit. If the company's qualifications permit, you can get a US green card by applying for EB-3 unskilled labor immigration.

The American permanent resident card, also known as the green card, is an identification document used to prove that foreigners have permanent resident status in the United States. The legal permanent residency of green card holders is an official immigration benefit, including conditional permission to stay in the United States and get a job. The holder must maintain his permanent resident status, and if he no longer meets certain conditions required by the status, the holder may lose his status.