The striker, who is also the subject of rumours of a split with wife Wanda Nara, was linked with a move to PSG in the final days of the winter market.
But Ausilio stated: "Rumours about the future? Comment on the field issues, do not comment on Mauro's social posts. The trips between Paris and Madrid of his entourage do not mean anything to me. There was nothing, but I heard about travel and medical visits.
"But it's all false, needless to discuss things that are not true. Now what counts for Icardi, he must think about the good of Inter and give us a hand with his goals. Only Inter goals are important."
Asked about Icardi's contract, he added: "When the time comes, we will sit down and evaluate. The priority today is the match against Crotone."