Margaret is correct. 'Imprint' is not used in this way in normal English. H-Mehmet is probably correct that what they are trying to say is that they will take a copy of it. But if you are still there - you could tell them that they are using the wrong word!

I think the hotel receptionist has made a mistake. In the United Kingdom the word "imprint" Is not used in this context. I think she may mean she will take a "photocopy" but you would not use "imprint" to mean photocopy here.

to take a copy of an important document. such as a credit card or an id card