Intesa does not direct register shares, so you need to transfer your shares to another broker that can DRS transfer.
A popular route has been through Interactive Brokers (IBKR), as they are available internationally and can DRS transfer for $5(US).
The quickest way is to open an Interactive Broker account, buy a share, and request a DRS transfer (link to guide here). While you wait for your Computershare account to be created, you can transfer your shares from Intesa to IBKR with a Basic FOP Transfer (free), then from IBKR to Computershare via DRS transfer for a $5(US) fee.
How to Transfer:
Once your shares are settled in Intesa, you can send them a Letter of Instruction, which IBKR can create for you.
Making the Letter of Instruction with IBKR:
Login in your IBKR account, and click on “Transfer & Pay” from the top menu and select “Transfer Positions”.
On the next page select “Incoming”.
On the next page select “All Other Regions” from the drop down menu.
On the next page select “Basic FOP Transfer".
Select INTESA on the drop down list.
For “Your Account Number at the Financial Institution" put your Intesa account number.
For “Name of Account Holder at Financial Institution“ put your full name as defined on your Intesa account.
Select the Account type (most likely individual).
Select the country of the Financial Institution where you access Intesa from.
For the contact email put “investor.relations@intesasanpaolo.com".
You have to add the asset you want to transfer, click on “Add Asset".
On the next page search which stock you'd like to transfer (GME), click on “Search".
On the next page, click on the row “GAMESTOP CORP- CLASS A / NYSE".
On the next page, define how many shares you'd like to transfer and click on “Save and Finish".
On the next page you'll see a summary of the transfer. Write in your name as it shows on the page and click on “Continue”.
Interactive Brokers will then generate a Letter of Instruction for you. But this is no longer apropriate for Intesa, instead you must write your own Letter of Instruction, take it into a local branch and sign it in front of them. The following has worked for another investor:
"il sottoscritto [nome e cognome] Titolare del deposito titoli [Numero di conto Intesa] chiede di trasferire tutti i titoli presenti (oppure se si tratta di un trasferimento parziale indicare ISIN (L'ISIN di GameStop è: US36467W1099) e quantità da trasferire) a favore del deposito [Numero di conto IBKR] a me Intestato presso Interactive Brokers
si comunica che il trasferimento avviene senza cambio d’intestazione e per qualsiasi comunicazione con il ricevente, la mail da utilizzare è: fop-transfer-in@interactivebrokers.com"
We recommend you take two copies with you. One for the bank, and one for your own records.
The transfer will be processed within 1-2 weeks. You should receive an email confirming that the transfer was successfully performed.
After your shares reach IBKR:
Now you are able to request the DRS transfer from IBKR to Computershare. To do this you can follow our guide on how to DRS transfer from IBKR (link to IBKR guide here).