You cannot remove this under Admin > Helpdesk customizer > Status as its a system default.

I'm had some success with Field and Form rules by executing the following script On Form Load

$CS.removeOptions("STATUS",["Resolved"]);

This works when creating a new ticket, editing an existing ticket via the Edit button, or clicking to edit the fields.

However, if I view a ticket and switch to the Resolution tab, the option is still available

Is it possible to disable this too?