Вы можете json_decode json и использовать метод array_column для получения каждого CUSTNAME
значения ключа.
$json = '[{"CUSTOMERCODE":"9879","CUSTNAME":"ASHIQUE","MOBILE":"","NATION":"INDIA","AREA":"AL QUOZ"},{"CUSTOMERCODE":"5678","CUSTNAME":"SALIH","MOBILE":"971528381946","NATION":"UAE","AREA":"DEIRA"},{"CUSTOMERCODE":"2345","CUSTNAME":"HABEEB","MOBILE":"12345678","NATION":"SAUDI","AREA":"AL QOUZ 4"},{"CUSTOMERCODE":"5433","CUSTNAME":"AZHAR","MOBILE":"12345678","NATION":"USA","AREA":"AL QOUZ 3"},{"CUSTOMERCODE":"5698","CUSTNAME":"BAIJU","MOBILE":"12345678","NATION":"UK","AREA":"AL KHAIL"},{"CUSTOMERCODE":"3854","CUSTNAME":"RAHUL","MOBILE":"12345678","NATION":"KUWAIT","AREA":"AL QUOZ"},{"CUSTOMERCODE":"5623","CUSTNAME":"LINESH","MOBILE":"12345678","NATION":"UAE","AREA":"AL KHAIL"},{"CUSTOMERCODE":"9879","CUSTNAME":"ASHIQUE","MOBILE":"12345678","NATION":"INDIA","AREA":"AL QUOZ"},{"CUSTOMERCODE":"5678","CUSTNAME":"SALIH","MOBILE":"12345678","NATION":"UAE","AREA":"DEIRA"},{"CUSTOMERCODE":"2345","CUSTNAME":"HABEEB","MOBILE":"12345678","NATION":"SAUDI","AREA":"AL QOUZ 4"},{"CUSTOMERCODE":"5433","CUSTNAME":"AZHAR","MOBILE":"12345678","NATION":"USA","AREA":"AL QOUZ 3"},{"CUSTOMERCODE":"5698","CUSTNAME":"BAIJU","MOBILE":"12345678","NATION":"UK","AREA":"AL KHAIL"},{"CUSTOMERCODE":"3854","CUSTNAME":"RAHUL","MOBILE":"971557557863","NATION":"KUWAIT","AREA":"AL QUOZ"},{"CUSTOMERCODE":"5623","CUSTNAME":"LINESH","MOBILE":"12345678","NATION":"UAE","AREA":"AL KHAIL"}]';
$data = json_decode($json);
echo "<pre>";
print_r(array_column($data, 'CUSTNAME'));