Shovel up any salt-melted ice or sludge currently on the concrete. Dump it in a trashcan. Deicing salt can damage plants.
Spread sand over the icy portions of the concrete for the rest of the winter season. Sand will not melt the ice, but it will provide traction and prevent further damage to the concrete. If you must use deicing salt, switch to magnesium chloride salt. Magnesium chloride salt is available at most home improvement centers, along with the other types of deicing salt. It is more expensive than sodium chloride, but it only causes a fraction of the damage. Follow the manufacturer's recommendations for application rates and amounts.
Shovel up any ice slurry as soon as the magnesium chloride salt melts the existing ice. Dump it in the trash, in the street or on your lawn. Magnesium chloride does minimal damage to plants.
Seal the concrete in the spring once all threat of freezing weather has passed. Commercial concrete sealants are available at most home improvement centers and go on like paint. Follow the manufacturer's instructions for application rates and methods. Sealing closes up the pores and cracks in your concrete. Once it's sealed, your concrete will no longer be susceptible to damage by deicing salts.