If you'd like to choose something that stands for Chinese culture, I think Chinese knot is one of the best choices.
It's said that Chinese knots were developed in Tang dynasty. Chinese people use beautiful knots to decorate their houses, works of art and other things. They are described as a symbol of traditional Chinese culture. They're usually in red and can be seen everywhere in China now, such as people's cars, houses and malls. They come in different forms, but they are used to express good wishes. You can easily buy some in many shopping malls. Moreover, you can learn to make Chinese knots by yourself. I think it means a lot when you send your family and friends this gift.