When in doubt, please check with your neurologist or movement disorder specialist.
This is the only reference to flu shot/nasal spray I could find on the Net. If anyone has any other precautionary information, please post it.
Can the nasal-spray flu vaccine (LAIV) be used together with influenza antiviral medications?
If a person is taking an influenza antiviral drug (including Symmetrel [amantadine] for Parkinson's disease), then the nasal-spray flu vaccine should not be given until 48 hours after the last dose of the influenza antiviral medication was given. If a person has received the nasal-spray flu vaccine, an influenza antiviral medication should not be given until 2 weeks after the flu mist was administered.
http://www.cdc.gov/flu/about/qa/nasalspray.htm