TMZ has learned ... just one day after it was announced that Courteney separated from David Arquette, CougarLife.com -- a website that specializes in matching older women with younger men -- mailed her a $1 million contract to become their official spokes-cougar.
We're told CL believes Courteney's personal "circumstances" -- coupled with the fact that she stars in "Cougar Town" -- make her the perfect candidate.
As far as the contract goes -- Cox would be required to voice 12 radio ads, appear in 4 TV ads, and make at least 30 public appearances for the CL brand ... all within the span of one year.
But there's a catch -- CL would reserve the right to fire Cox if she gets arrested or "conducts herself in a manner that brings herself into disrepute."
So far no word on whether CC plans to sign.