I would like to know if it is possible to move out of Switzerland and leave a bank account open ? Or does the bank account have to be close before we leave.

Thanks for the info

Absolutely no problem from the Swiss point of view of your maintaining a bank account if you are no longer resident (except perhaps if you are a US citizen, but see all the other threads if that's the case).
You probably may want to talk to someone at your bank about some of the mechanics of running the account.
And don't forget that the authorities in the country you are going to may or may not have an interest in your account in Switzerland.

If you use the search box at the top-right of the page, you will find loads of information about this that is already on the forum - this question has been asked many, many times before.

When I called my bank, they told me I could keep all open, but they will charge me for my account after my move. 40chf per month.. Best to inform with your bank.