Where can I play tennis, at public courts, or private club in the 8th, 17th, or 9th arrondisments ?
Nice courts at the Luxembourg gardens, not in the arrondissements that you mention though...
Info about all the public courts (in French) from the mairie's website: http://www.paris.fr/tennis
I know some... look for "court de tennis municipal".
I have played last w-e on a free outside court somewhere, not far off Place d'italie, can't reminf the name now...