Aside from No More Secrets' excellent suggestion, "cut someone some slack," there is "let it slide," which means not to oppose something that may be objectionable but that (apparently) is not intolerable. Christine Ammer, The American Heritage Dictionary of Idioms (1997) discusses "let slide" in an entry for "let ride":
let ride Also let slide. Allow something to be ignored or to take or continue its natural course. For example, Bill disagreed with Mary's description, but he let it ride, or He had a way of letting things slide. The first term, alluding to things moving along as though they were riding a horse or vehicle, dates from the early 1900s; the variant, using slide in the sense of "pass by," dates from the late 1500s.
I find Ammer's decision to equate "let slide" with "let ride" somewhat unsatisfactory. To me, the essential image of "let slide" is "let go downhill"—that is, allow to happen for the worse—which "let ride" doesn't suggest at all. Usually, when you let something slide, you are allowing something below the normal standard to occur, often because you aren't willing to put your foot down about upholding or enforcing the standard in question.
Other expressions that may work in certain circumstances are "fall asleep at the switch," which applies to cases where a failure to put one's foot down can have calamitous results (the original reference is to a railroad switchman in charge of switching tracks that trains run on), and "let the inmates run the asylum," which refers to ceding authority to individuals who need supervision but are instead left to supervise themselves (the reference is to an insane asylum).