Some PCMCIA cards need an EPROM programming voltage of 5V, while some need 12V. The Amiga PCMCIA interface in both A600 and A1200 supports 5V and 12V programming modes, which is selected by a register in Gayle.
As to what software support exists for this, I've no idea. You could try one of the Intel cards and see if it happens to work. Your success rate may also depend on what the target filesystem is and having a suitable Amiga device driver for it.