Hello Davide,
You can't create a new contact, never been included in the action range for D365 BC Team member users.
Following actions are included as action for Team Members use rights:
go.microsoft.com/.../
(i) Read anything within Business Central
(ii) Update existing data and entries in Business Central - existing data are records like customer, vendor or item records which are already created. Entries means entries on which it is specifically allowed from an accounting perspective to update specific information. (e.g. due date on customer ledger entries)
(iii) Approve or reject tasks in all workflows assigned to a user
(iv) Create, edit, delete a quote
(v) Create, edit, delete personal information
(vi) Enter a time sheet for Jobs
(vii) Use Power Apps/Power Automate Use Rights with Dynamics 365 license
Note > As workaround, you can create a contacts (New contact 1...100) using a D365 BC Essential or Premium user and a Team member users can update it.
Best Regards,