I recently installed a chain link fence. It's a long story why, but our neighbor's property is about 6" lower in elevation in some spots where the chain link fence is. We installed the chain link fence on the lower elevation because the existing wood fence we were installing was at that elevation. Now we want to know if we should just fill in the gap between the fence and our property (high side), or should we grade our side of the property so that it meets the bottom of the chain link fence? We would rather just fill in the gaps, but I want to know if this could cause any problems.
I would shave down the high side (left side in picture) from a distance of 2 or ft and use that to fill under the fence. Assuming the fence is on the property line this would transfer some soil to your neighbor's property. You could assume he won't mind, but it would be best to discuss it with him first.
If this fence is designed to contain a dog who is or might be a digger, you might have to place cobbles or concrete "stone" blocks with decorative side toward the neighbor, under the fence and fill on the back side. Of course, it might look strange to have blocks only under some sections of the chain link fence.