Callejon moved to Napoli from Real Madrid last summer and scored 20 times during his first season for the Italian outfit.
Such form attracted talk of a return to Spain, but De Laurentiis moved quickly to reject the interest.
"Barcelona and Atletico Madrid have asked about him," De Laurentiis told Corriere dello Sport.
"But he will not leave, we have no intention of selling him."
Callejon also registered six assists last season.