It looks like Home Depot recycles them:
The types of rechargeable batteries in use include lithium-ion and nickel-cadmium batteries. Other types are nickel-metal hydride, nickel-zinc and small sealed lead batteries. The toxic metals used in these batteries can hurt the environment if thrown away.
Rechargeable 9-volt batteries, AA and AAA batteries and D cells for household use look like alkaline batteries. But they can be reused with compatible plug-in chargers. Rechargeable batteries can be recycled. Look for the battery recycling seals on rechargeable batteries.
Recycling companies dispose of the components of rechargeable batteries properly. The metals and chemicals don’t end up in streams and landfills.
The Home Depot has partnered with Call2Recycle, a nonprofit battery recycling program. Rechargeable batteries can be dropped off in Call2Recycle bins at the store. Any rechargeable battery that weighs up to 11 pounds and is under 300 watt hours is accepted. There’s no charge for recycling.
Many local districts host collection events for residents to drop off batteries.
Some battery manufacturers and recycling facilities have mail-in programs. Before mailing batteries, be sure to follow postal shipping precautions.