At the moment, there are zero airlines flying to Shenzhen. Go through the results to find the right flights for you – you can adjust the filters to see find even more flights to Shenzhen.
If you can't find a flight time that suits you, why not look at flying out from a different airport?
The distance between London City Airport to Shenzhen is 9570 km. You can see the various flight times in the results.
Searching by month, for instance, will show you the best time of the week to fly.