How does foreigner open bank account for US corporation ?

You can try solutions like Wise, Mercury, Payoneer, and Novel if you are content with an EMI-like solution just to get a local routing number and account number.

If you want a regular retail bank, you normally need to travel to US (Miami, New York, and San Francisco being the main destinations) and open an account in person. Bank of America, Wells Fargo, and Citibank tend to be the easiest but there's no guarantee, and sometimes you can get lucky with JPMorgan Chase, US Bank, Capital One, and other major banks.

In New York, you have Signature Bank which has an appetite for foreign companies and US companies controlled by foreigners. Remote opening with them is possible sometimes.

To open the account you will need all the usual paperwork for all the members/shareholders and directors/managers, as well as the company and related companies. They like documents with apostille.