My server supports hardware RAID and it can use SATA drives.
I wonder does it depend on Server or on a Discs to know, if they support hot swapping? And rebuilding while working?
I know that SAS drives are intended to be used as a hotswap. How about SATA's?
Hot-swap is more a function of the drive-controller than the drive itself. Doing it requires some procedures to be followed by the controller that are more expensive to implement than a simple controller. Some RAID controllers turn off the disk-cache and rely on on-controller cache to satisfy the same need, as this ensures that when the data gets sent to a disk it is committed immediately. Some controllers don't handle connection-after-boot, which is what hotswap is.
I've used SATA drives in hot-swap situations, the drive environment just needs to be engineered for it. And by environment I mean "easy to remove without dismantling the case". Mostly it's just press a button, pull the handle, extract drive, replace. Those systems have a separate backplane and drive-carriers that make the hot-swapping easy. Those can be off the shelf SATA drives, just in the right carriers.