If you're gonna append another war to the array, you can use array_push():
$ID=1235;
$narray = array_push ($array_test, "11");
$narraystring = implode(",", $narray);
$sql = "UPDATE table SET array_test='$narraystring' WHERE ID=$ID";
but if you are gonna update the db with new value, you don't need to deal with arrays at all.
Just select the value from db-field array_test (as a string), then append the new value + the separator you use:
$query = mysql_query("select array_test from table WHERE ID=$ID");
$append = mysql_fetch_array($query);
$newvalue = "11";
$updateappend = $append . "," . $newvalue;
$sql = "UPDATE table SET array_test='$updateappend' WHERE ID=$ID";
knutm