Does the time difference between Shanghai and Zurich change during the year?

Yes. Because of daylight saving time the gap moves between +6h and +7h.

When is the best time to call Zurich from Shanghai?

Between 15:00 and 17:00 in Shanghai, which is 09:00 to 11:00 in Zurich.

Shanghai is 6h ahead of Zurich. This gap is not fixed: daylight saving time moves it between +6h and +7h during the year.

Shanghai

China

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Zurich

Switzerland

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A 9-to-5 day in each city overlaps for 2h. That is 15:00–17:00 in Shanghai, which is 09:00–11:00 in Zurich.

City	Time zone	UTC offset
Shanghai · China	Asia/Shanghai	UTC+8
Zurich · Switzerland	Europe/Zurich	UTC+2

What is the time difference between Shanghai and Zurich?: Shanghai is 6h ahead of Zurich. This gap is not fixed: daylight saving time moves it between +6h and +7h during the year.
Does the time difference between Shanghai and Zurich change during the year?: Yes. Because of daylight saving time the gap moves between +6h and +7h.
When is the best time to call Zurich from Shanghai?: Between 15:00 and 17:00 in Shanghai, which is 09:00 to 11:00 in Zurich.