I'm not entirely sure why you would ask that sort of question. Seems like basic financial literacy.

Credit cards don't work that way.

Credit cards are designed to be one-way devices; they transfer funds from a line of credit to a merchant's account using an intermediary.

It looks like you have two options for their payments:

1) They can send you a paper check; you deposit that check somewhere and it causes an EFT.

2) They can deposit it directly with an EFT.

A paper check has extra risks. The paper can be lost, stolen, or damaged. Paper checks can be forged or tampered with. A paper check has extra costs, it needs to be handled, mailed, then handled again, costing both time and money.

Is there some reason you can't do a traditional EFT? I know that some places of the world distrust banks or have high bank fees, does that apply in your case?

Only reason I can think of his wanting to use a credit card is that it is in actuallity a hybrid card i.e. Savings/credit facility (which counts as a bank account) otherwise as per Frob comments regarding credit cards.