One thing is to buy products that are made of woods harvested in renewable fashions. More and more timber companies are joining organizations that have strict guidelines for how wood can be collected, restoration plans, etc. By purchasing woods that are collected properly, the market for the 'poached' lumber vanishes--if there's no profit, they'll quit. And, we can encourage other nations to follow suit.
America is working on restoring the damage inflicted in the past. Companies in many inductries are realizing that it's much cheaper to harvest responsibly than to clean up the mess. Sharing these methods and experiences will help as well.