There are several synonyms for the phrase "attach little importance to" which can be used interchangeably depending on the context of the situation. Some examples include "discount," "deem insignificant," "disregard," "minimize," "trivialize," "undervalue," and "diminish." These words convey the idea that the subject matter is not significant or important enough to warrant attention or consideration. Using these synonyms can add variety to one's language and help to avoid repetition in writing and speaking. However, it is important to choose the appropriate synonym depending on the context and connotations of the sentence.