I need to connect my MacBook Air 11" mid 2013 SSD drive to another Macbook since I have to initialise it in the right format.
I'm searching for an adapter that has at one side the right connector for the SSD and on the other side a USB port.
The problem is that I don't know which one to choose since a normal SATA port would be too big.
Just to be clear the SSD I'm talking about is this one: 
it's so tiny and I don't know if there's a USB adapter for this one so I can remove the internal storage and mount it to another computer over USB or faster interface. What adapters can read Apple OEM storage from the Air?
Best Answer
Apple uses a proprietary connector, which is usually described as a 12+16 pin PCIe connector. Or more simply "Mac SSD".
There are USB enclosures for these blades, though they tend to be very expensive - $70 to $100. Here's one:
https://www.amazon.com/QNINE-Enclosure-MacBook-External-Adapter/dp/B076KDPZMM/
However, note that this particular one claims not to work with Apple SSDs made by Toshiba or SanDisk.
You might be best off putting it back into a Mac and formatting it and installing MacOS using Internet Recovery. (Or even buying a secondhand Apple-Samsung SSD replacement on eBay.)
Everything you need to know about Apple's SSDs in all models of Macs can be found here:
https://beetstech.com/blog/apple-proprietary-ssd-ultimate-guide-to-specs-and-upgrades