It's a buzzword that no one will define on here. What it is basically advancing is an argument for cultural relativism. As applied in these situations, it is the belief that rules or laws of general applicability that are established by a dominant culture are bad if they apply to a non-dominant culture in some manner in which individuals of the non-dominant culture view as opposition to their cultural mores, standards or beliefs.
Let's use Italians and Russians in New Jersey as an example. Let's say that there's a nice restaurant in New Jersey that has a dress code that says "all gentlemen must wear a coat and tie" and an "all conversations must be reasonably quiet" rule.
Say a group of Russians wearing Adidas track suits shows up at the restaurant and protests the dress code by noting that they are wearing their finest evening wear. Cultural relativism would say that it is wrong of the restaurant to apply the dress code rule to them because the suit and tie rule is an offshoot of WASP ideals of gentlemanly behavior and that it is cultural imperialism for that rule of general applicability to be used against the Russians.
Later that night, a group of 16 Italians has 4 tables pushed together and the patriarch of the family thinks he is Tony Soprano and yells vulgarities at the top of his lungs to make sure that his second cousin at the other end of the table can hear his jokes. Pearls are clutched all around the restaurant and some Karen, after fanning herself and trying to cover little Xander's ears, asks the manager to ask them to keep it down. If the manager asks the Italian family to keep it down, the cultural relativist would say it is wrong because again, the volume rule is an attempt to enforce WASP-ish notions of gentlemanly behaviors against Italians, who may possess different notions of appropriate behavior in a restaurant.
For real world examples, look at some of the media "defenses" of Mike Vick and Adrian Peterson. Some cultural relativists rushed to their defense by saying their behaviors were acceptable when measured against their cultures. It wasn't a lot, but as time marches on, these sorts of defenses will become more and more accepted.
