Matri has been linked with the likes of AC Milan, Juventus, Fiorentina and Napoli while the Rossoneri are also keeping tabs on Lazzarri.
“I made a promise to our 4,000 members, to our coach [Roberto] Donadoni and to the rest of the side: Lazzari and Matri will remain with us in January,” Cellino told L’Unione Sarda in an interview.
“They are also the first people to agree with this choice.
“In June, the discourse may change. If Cagliari are able to go to the next level and plan for our future projects, it would be an injustice to hold these high-quality players back.”