Thank you for your question.
Physical stock certificates are no longer issued by most Swiss companies and brokers.
If you want to hold bearer shares (Inhaberaktien), these will generally have to be held by a custodian bank on your behalf. In Switzerland, custodian banks are generally the same banks which acts as stock brokers and operate online trading platforms.
In Switzerland, as in most countries, custodian banks typically hold bearer shares in street name. In other words, your shares are held in a collective account in the brokers name, along with shares from all of the broker's other customers. When shares are held this way, you do not hold ownership or voting rights. You simply benefit from dividends and capital gains on a usufructuary basis. Brokers must maintain records of bearer share ownership. Some brokers hold shares in a segregated custody account or offer this as an option.
It is possible to transfer shares from one custody account to another, but brokers typically charge high fees for this service. In practice this typically involves the selling of your existing shares by your old broker and the purchase of identical shares by your new broker. You cannot simply withdraw your stock certificates and deposit them at a new custodian like you could in the past.
If you hold registered shares (Namensaktien), you are (or should be) listed as a shareholder in the share registers of the companies you hold shares in. Registered shares give you voting and ownership rights. Because ownership of registered shares is recorded in company share registers, you can prove ownership independently of a broker. Swiss companies generally no longer issue physical stock certificates, so you still have to hold your shares at a custodian bank. Because the process of registering the ownership of registered shares in company share registers requires more effort, brokerage fees for registered shares tend to be higher.
Like bearer shares, registered shares may also be held in collective accounts in the broker's name. You can find more information in the guide to differences between Swiss stock brokers.
Important: Following legal changes to the framework surrounding bearer shares, many Swiss companies have begun converting bearer shares to registered shares.
More information:
Online trading platform comparison
Custody fees in Switzerland explained