Hi,
The only rink in Paris is the Sonja Henie rink, located in the Bercy arena. Skating centers in France are very different from the ones in the USA, and I doubt they would allow someone who isn't from the club to training in the facility. But you never know and can try to fax them at 01.40.02.60.19 or call them at 01.40.02.60.16. Their e-mail adress can't be found on their website.
Otherwise, all the others rink are in the suburbs and these suburbs aren't near the Luxembourg area.
Here is the list of some clubs in the Ile de France area you may contact
http://www.csnpa.org/idf.htm
You may also try to reach the regional organisation (a part of the national association ) at artistique.idf@tiscali and Alain Fontana, a member of the Commission Sportive Nationale at
[email protected]. I think he may have some interesting suggestions.
Howewer, be aware you may have to fight with the school (Is it the ecole alsacienne ?) because most of kids like your daughter here skate while the others kids are in school, during the morning or the afternoon. School schedules don't allow kids to train during the day. These kids have to attend "the ecole des enfants du spectacle" , and train during the time they aren't in school. At others time, rink are opened to general public, and it is hardly possible to train during these sessions.
If I can be of any help, just PM me. I'm a former competitive skater and live in Paris.