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Welcome on board 

Depends on what level you want and how long you been studied before and how much time you want to spend.
If you are a brilliant student then two months will be just fine.
Otherwise you need at least 6 months.

Take care and all the best!

i don't think 2 months enough to learn arabic
you may need more time to learn and practice

Arabic is a Semitic language, way different than both Turkish and English, so you would need much more time, but I advise you to start with Egyptian Arabic, which is easier and simpler than standard Arabic.

Hey you!
Yes, what you want to learn, you can. But it takes a whole lot of training of course,
and also the fact about if you gonna be surrounded by Arabs or not.

But don't worry, you will start your understanding through listening and the small words first.

Best Regards,
Alev

what about the idea of  meetings Arabs in Istanbul :-) Do you know any one who lives in Istanbul ?

You can post your question in the Istanbul forum and wait for replies.
You can also check out the network section from the Istanbul forum, it is in the green banner above the page.