In our module we have integrated time picker also with hijri datepicker. It will show automatically time picker if field type is date time.
Once you set date time in Odoo field it will show date in hijri and time in seprate input box where you can set time and that time will be reflected instantaly on the Odoo field and viceversa.
So you do not have to worry abut time also. For any Costomization related to this hijari(Islamic) date picker module conatctus. We will be happy to serve you.