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The problem is not the discharge but the color. many dogs have nasal discharge due to allergies that is clear. The fact that the discharge is green can mean that something is going on that needs vet attention. In older dogs it can mean dental disease or tumors so at this junction I would strongly suggest that you have the dog examined by your vet.
There is nothing over the counter for dogs like there is for humans (like cold medication) for nasal discharge.
Here you can read more on nasal discharge causes for dogs