If you are dealing with simple arrays (numbers or strings, nothing fancy) then you can use implode() to create a comma-seperated string that represents the array.
Then after submitting you can explode() the string to get the array again.
// First script:
// Make an array
$aArray = array(1,2,3,4);
// Implode it
$sString = implode(',', $aArray);
echo $sString."<BR>";
//
// Second script:
//
// create a new array from the string
$aOtherArray = explode(',', $sString);
print_r($aOtherArray);