Is depositing a portion of one's salary monthly into a bank's Visa card impermissible (haram), and what is the permissible (halal) way to deposit money if that is the case?

The covered card in which a customer deposits their money is permissible, and there is no objection to using it. It does not fall under usurious transactions, because it does not take the rulings of a loan due to the absence of lending in it. Whoever finds an Islamic bank they can deal with should deal with it rather than with usurious banks.