If you want to travel and hold a non-EU passport, you can get a “Return Visa”, traveling without it and with expired residence permit is pretty risky if you are a non-EU national.
Return visa
You will require a return visa if your visit is not governed by a permit. However, such return visa is only issued if one of the following requirements is fulfilled:
if you meet the requirements related to residence in Switzerland, but your residence or settlement permit is temporarily not in your possession;
if your application for a residence permit is pending and the Migration Office authorized you to stay here during the application procedure; or
if the Migration Office or Residents’ Registration Office is reviewing your application to extend your residence or settlement permit and you wish to go on holidays.
In order for us to assess the situation, we need to see you personally at our office. If children under the age of 18 are involved, a parent or legal guardian must be present as well.
https://www.zh.ch/en/migration-integ...halt/visa.html