Short answer is Yes.
The longer answer involves questions about the aircraft, the airline and the rifle.
The aircraft must have a separate baggage hold not accessible from the cabin (so there is no way you could gain access to the rifle in flight).
The airline must have a policy of accepting firearms. Nearly all of them do, but it is essential that you check.
The legal requirements for possession of a firearm in both countries must be satisfied. If it's a Section 1 air rifle (over 12 ft-lb muzzle energy) this will be covered by your Firearm Certificate and European Firearms Pass.
I do not know the law regarding non-S1 air rifles in France.
For a non-S1 air rifle, I would take a statement of the specification with you - you will have to declare the gun on the way back (and probably on the way out in France), and Customs might assume it is S1 unless you can demonstrate otherwise, though in my experience (carrying fullbore rifles worldwide) they are remarkably helpful.
There are special baggage handling arrangements - carry the rifle in its own rigid case, allow at least an extra hour for check in, expect to sign various documents, and expect to be escorted with your rifle to and from Customs both out and inbound.
Also, if it's operated by a compressed gas cylinder, think about the carriage regulations for that.
Hope this helps - PM me if you need more detail.
Sven