This is one of the most liberal cities in the Middle East. While it certainly is no Bangkok if you are hoping to find places to party in this region of the world then picking up hot girls in the Amman nightlife for casual sex or a serious relationship will be a lot easier than most other places. In most cities around here it is hard enough to find a beer to drink. The local women are not slutty by any means, but you do have a better chance of scoring casual sex with hot Amman girls here than in many places nearby.
There are also some Indonesian and Filipina girls around that like to have fun. You can actually buy alcohol at nightclubs in Amman so that puts this city far ahead of others in the region when it comes to nightlife. There are some really cool pick up bars and clubs here to check out, it should be pointed out there will be hookers at many of them.
One of the top nightclubs is definitely the Sky Lounge. It is a really fun place to hang out and you can find very sexy Amman girls looking for men and sex here.
You may also want to check out some of the nice hotels in the city. When trying to pick up sexy girls in more traditional countries like Jordan you have to realize that most are going to be extremely prude. The majority are virgins, or if they have had sex they only have done it with a long term boyfriend. Could you be so cute that they change their ways for one night? Sure, why not, dreaming is fun!
But if you want to be more realistic then do not expect or even hope for that. Instead what you want to do is have a mass volume approach here. That means go out on the dance floor, let a girl shake her ass on you for a few songs, and then try to go for a makeout.
