It says on Ebay Help:
All sellers offer at least one of the approved electronic payment methods?such as PayPal?or accept credit card payments through their merchant credit card account. (When you pay with a credit card to the seller's merchant account using the Pay Now button, your payment is securely processed without the seller seeing your credit card number.)
Also here, about other payment methods:
Escrow
Recommended for high-priced items. For eBay transactions, you should use only our approved escrow companies. Learn more about how escrow works and which sites are eBay approved.
Advantages
√ Payment is held by the escrow service until you receive and approve the item.
Disadvantages
X There have been reports of fraudulent sellers using non-existent escrow companies, so make sure you verify any escrow service other than eBay?s recommended escrow partner.
Other payment methods
Cheques, postal orders, and direct bank transfers are not allowed for most eBay purchases.
However, sellers may offer these payment methods for certain categories of items including vehicles, capital and business equipment.
For specific exceptions, see our Accepted Payments policy.
Advantages
√ Cheques and postal orders are traceable to a particular postal address and provides proof of payment.
√ For cheques, most banks offer a stop payment service if problems arise before the cheque is cashed. Some postal order services might also have the option to stop payment if problems arise before the payment is cashed.
√ For bank transfers, payment is immediately deposited into the seller?s account.
Disadvantages
X For cheques, sellers must wait for funds to clear.
X Payment is extremely difficult to recover in cases of fraud.
Hope this helps.