I highly recommend anyone coming to Jordan to rent car at this company.
We have been to Jordan in February in 2019 and weren't able to find any company to rent us a car in a timely manner for a reasonable price. We have been going around this place by chance and when there was a heavy rain, the boss of this company offered us to stay inside. There we asked him if he rents cars, he confirmed and we rented a car for 4 days. We could have taken the car the second day. The deposit we paid was really low compared with other companies, as well as the renting fee. We were even offered sweets when we were about to go.
This rental company is not really well known for foreigners, but I really assure you that this is the best what you can get in Amman if you don't want to be scammed and if you want to meet really kind and friendly people.
Thank you so much again!