Английский словарь американских идиом - bat an eye

or bat an eyelash {v. phr.}, {informal} To show surprise, fear, or interest; show your feelings. - Used in negative sentences. * /When I told him the price of the car he never batted an eye./ * /Bill told his story without batting an eyelash, although not a word of it was true./ Compare: STRAIGHT FACE.