Yes, China does have a national tennis team. The Chinese Tennis Association (CTA) is responsible for managing and organizing the national team, which represents China in various international competitions such as the Davis Cup, Fed Cup, and the Olympic Games. The team is composed of both male and female players who are selected based on their performance and rankings in domestic and international tournaments.

One of the most notable achievements of the Chinese national tennis team is the success of Li Na. Li Na became the first Chinese player to win a Grand Slam singles title when she won the French Open in 2011. She followed this up with another Grand Slam title at the Australian Open in 2014. Li Na's success has not only elevated her status as a global tennis star but also brought significant attention and development to tennis in China.

Another notable player is Zheng Jie, who, along with her partner Yan Zi, won the women's doubles title at the 2006 Australian Open and the 2006 Wimbledon Championships. This was a historic moment for Chinese tennis as it marked the first time Chinese players had won Grand Slam titles.

The Chinese national tennis team has also seen success in the Davis Cup and Fed Cup. In the Davis Cup, China has competed in various World Group and Asia/Oceania Zone competitions, while in the Fed Cup, the Chinese women's team has advanced to higher levels of competition, including the World Group II.

The development of tennis in China has been further boosted by the government's support and the increasing popularity of the sport among the population. The CTA has implemented various programs to nurture young talent and improve the overall level of play in the country.

In summary, the Chinese national tennis team has made significant strides in international tennis competitions, with notable achievements by players like Li Na and Zheng Jie. The team continues to grow and develop, aiming for more success on the global stage.