Yes, there is a connection between the nervous system and inflammation, it is well-documented. What kind of inflammation are you referring to, though? There are many kinds of inflammatory disorders and responses. The paper you referenced is about using Cholinergic agonists to treat a specific type of inflammation, sepsis. It isn't recommending a general treatment for just any kind of inflammation. Can you be more specific about the condition you are wondering about?
Then, search, 'immune responses, including inflammation, in the nervous system during a URI'.