Английский словарь американских идиом - cut ice

{v. phr.}, {informal} To make a difference; make an impression; be accepted as important. - Usually used in negative, interrogative, or conditional sentences. * /When Frank had found a movie he liked, what others said cut no ice with him./ * /Jones is democratic; a man's money or importance never cuts any ice with him./ * /Does comfort cut any ice with you?/ * /I don't know if beauty in a woman cuts any ice with him./