Set Status on Ticket creation

I’m noticing a situation occurring when my support staff creates a ticket.  The status is going in as New, and we don’t have the option of changing that upon creation.  Almost all of the time when the support staff creates a ticket, the status should be something else, as they are creating as catchup for documentation.  It should be In Progress, Closed, or we also use Addressed.  We would like the option to be able to do that.  Maybe just for technicians.