I found a few places in Syria were I could use my (standerd) debit card, in Syria.
In Aleppo there was one in the biggest hotel (forgot the name) but it's in the centre. In Damascus you'll have no problem finding a bank were you can use your card.
Entering Jordan from Syria, there was a ATM I could use at the border. But there wasn't one on the way back at the Syrian border, 'don't ask me how I know' but it took me almost a whole day and the help of a verry nice Syrian border guy before I was across.
ATM's in Jordan were no problem at all.
What are you gona do about it?