Well, you can't actualy store an array in the database, but you can store the contents that make up the array into the database.
So, let's assume you have an array as such:
$var = array ("Name" => "Steve", "Address" => "1234 A st", "Phone" => "567-345-4563");
You can break this apart and store it in a database that has the following structure:
!Name !Address ! Phone !
+-----------------+--------------------+---------------------+
!Steve !1234 A st ! 567-345-4563 !
The SQL would look something like:
INSERT INTO People (Name, Address, Phone) VALUES ('$var["Name"]', '$var["Address"]', '$var["Phone"]')