Well, yes, all the Chanel sunglasses have serial numbers, so you can just use this to spot the fake one. As we know that Chanel sunglasses are expensive, fashionable eye wear. And to spot the fake one, there are some tips you can follow. For example, you can just look at each arm of the sunglasses frame. Generally speaking, it should have the Chanel signature logo near the temple area on the outer portion. The inner right arm should have a Chanel copyright symbol "(C)" or trademark "(TM)" symbol after the word Chanel. And at the same time, the other arm should contain a serial number. That can be a clue to identify them. By the way, you should know that authentic sunglasses should come with a certificate of authenticity and a warranty from Chanel.