Assuming you mean you want to take your non-EEA spouse more than once into the UK on an EEA family member permit.

Yes, you can apply for another one from France - however, your non-EEA family member does not have to leave the UK after the EEA family permit is expired, since he is with you, an EEA resident.

According to law you don't need an EEA family permit to enter the UK at all if you can proof your married, but I've not heard anyone actually trying that out in practice... for obvious reasons.