As seen in the news, there are a couple of refugees having their pets with them.
Here i want to collect informations about the import provisions.
There are import provisions for every pet from so-called non-listed third countries, syria is included.
Their owners have to proove, that for example the dog carried with them is theirs. For that they need a special pet passport, which you get when you get your dog chipped with a microchip. If you don't have such a passport, you need to get in contact with a boundary-veterinarian as soon as you arrive in germany. These places are listed here: bmel.de/DE/Tier/HausUndZoo...
Please do that as soon as possible, otherwise it can't be guaranteed that your pet will stay in germany (or austria or wherever you want to be) or worst cases: it will be sent back to your homeland or, if thats not possible, put to death.
We made a list with import provisions, sadly its just a german version.
Just a hint: It will be harder to find a flat here with a pet. Even for Germans it is hard if you have a dog to get a flat because many landlords don't wantthem in their house :/
This is the website of animal protection in berlin:
Maybe you can find help there. Unfortunately, it is in German only.