"goes without mention" is correct and usable in written English.
You can use it when something is so obvious that it doesn't need to be mentioned. For example, "The fact that he helped the elderly goes without mention."
But it never goes without mention.
No recent budget goes without mention of the chancellor's northern powerhouse and today Osborne announced extra spending for rail and roads.
While every detail of the Trayvon Martin case is ceaselessly explored by the media, including every potential race-related angle, and every outrageous comment uttered by every opportunistic pundit, information on soaring rates of unemployment in communities of color, and other marginalized communities, goes without mention in those same media outlets.
It almost goes without mention that Shawky seeks to displace the circulating myths and stereotypes of a monolithic Middle East in catastrophic and brutal demise by disseminating depictions of the numerous thriving traditions of various ethnicities, faiths, and cultures that are threatened both by an ideological Modernism and any one of the Muslim sectarian supremacy movements.
And all of this goes without mentioning that the sun's light is infinitely abundant.
The Chinese, by contrast, have an impressive record over the last couple of decades, and their achievement in the sphere of rice-cooking goes without mentioning.
I also have to wonder how long it'll be before an American novelist can write a book set in the present in which in which nonwhite characters' race goes without mentioning for fifty pages.
Nothing is too trivial to go without mention; no passing thought is too commonplace to go unshared.
And, while the Bedouins' role in ripping up some rail lines should not go without mention, neither should Britain's vast armies, including the hundreds of thousands of Indian and other non-British troops, who were the real reason the Ottomans lost.
Northampton, purveyor of a typically forthright brand of English style last season and supplier to the national team of, among others, Courtney Lawes, Ben Foden, Dylan Hartley and Chris Ashton, some of whom did not go without mention in the dispatches of charm-gone-wrong in New Zealand, are away to Munster in the first round.
The acquisition attempt, however, didnt go without mention last night.
