The fastest way to get to Paris is by plane but since it is somehow close to North Italian towns, it is of course a destination reachable through other means of transport. Adding the time spent for the check-ins and the one spent for the transfers together, you may find out that trains and cars turn out to be even the fastest ones.
Plane
The fastest and convenient way to get to Paris is travelling by plane. There are several companies carrying out straight flights from the main Italian airports and many low-cost flights. The crossing time is of about 1 hour leaving from North Italian towns and of 2 hours at the latest from central/southern Italy towns.
Costs vary from 150 to 500 € according to time, company and period.