The airport said on Twitter that the facility had been closed until further notice because of adverse weather conditions.
However by 9am the airport announced the first scheduled flights were expected to take off at 11am, with the first incoming planes landing at midday.
Airline traffic at Zurich airport did not appear to be weather-affected on Thursday morning although minor delays were reported.
The heavy snow also affected roads and rails.
Federal rail operator SBB announced delays and restrictions on many rail routes due to the snow, with issues between Lausanne and Geneva, around Bern, Vallorbe in Vaud and Stabio in the canton of Ticino.
Neuchâtel station was also partially closed due to the snow.
On the roads, many accidents and tailbacks were reported, particularly in the cantons of Valais and Vaud, with police warning drivers to take care.