Motel reservation with parents' credit card?

In a little more than a month my boyfriend and I are taking a vacation to the beach, he is 20 and I'm 18. We both only have debit cards and don't want to use them to reserve our room online. Could it be possible to use my parent's credit card to just pay for the motel room in one go on the computer? The main issue I'm worried about is getting to the crappy motel we're staying at and them have a conflict with us using a card that isn't ours.