Sorry but that's just categorically wrong. The leaf, just like every new car on the planet uses disks & brakes. A quick google search of Nissan Leaf brake pads will bring up tons of results for aftermarket replacement pads.
What parent said is correct, categorically or not: regenerative braking does not use conventional pad-and-disk. It uses the electric motor to slow the car by turning the motor into a generator. The fact that a Nissan Leaf has pads and disks does not change this.
This really isn't that complicated. Electric cars use a combination of regenerative braking (using the generator to convert kinetic energy; forward velocity, into electric energy) and using the disc brakes when regenerative braking doesn't slow you down fast enough. This results in much less wear on the brake pads and callipers.