Hi there!
If I were you and wanted the parrot back, I would take few days off and post flyers everywhere especially at places that people visit who are outside a lot like restaurants/hotels, pump stations etc.
I lost a parrot once and found her back after 2 days laying in a tower found by climbers who noted a flyer at a pump station. Sadly she was death but I am glad I had found her.
Her name was Jolie.
