From Longman Dictionary of Contemporary Englishcome out with something phrasal verbSAY/STATEto say something, especially something unusual or unexpected The things he comes out with are so funny! → come→ See Verb table
Examples from the Corpus
come out with • Everyone is a guest, non-Leeds fans are far less likely to be tolerated coming out with anti-Leeds stuff.• The thought of la belle dame de Bruges coming out with such stuff beggars belief.• But nobody has sufficient sand to come out with the only question you know they have in mind. 