The 18-year-old broke into the first team last season and he impressed during his debut campaign with five goals in Ligue 1.
The striker's form has attracted interest from England and Everton, Newcastle, Southampton and West Ham are all keen on signing him.
Caen naturally want to keep hold of Karamoh and they have offered him an extension on his current contract, which expires in a year.
However the France under-21 international has snubbed that proposal and, according to L'Equipe, he will now be sold.
Caen simply do not want to lose Karamoh for free in 12 months time and as a result they are ready to sell this summer to the highest bidder.