In case anybody has ever the same problem
I called Hilton, Hyatt, Westin, Sheraton, W's, Wyndham, Four Seasons (just to make sure) Waldorf Astoria and a couple others.
Debit Card is possible everywhere.
But it varies. They charge between $100 and $325 per night's stay, and it depends how many people.
So the best is, call for yourself. But Debit Card goes everywhere, no problem.
And I'll pay it.
Even cash goes btw. But then, it's more.

Thanks again so much to all:-: