Contacts will not appear on the patient list, so if you set a patient's status to Contact, they will not appear in your patient list.
You can create a list of contacts assigned to your practice by running a patient report with the report type set to Contact. To do so:
Click Reports > Patient.
Click New Report at the top-right of the page.
In the Report Type field, select Contact.
RESULT: A list of contacts will be created as a report. You can click on any contact to go to their profile and change a contact to a patient if required.