Sarri has been linked with Chelsea for several months as a potential replacement for Antonio Conte, and a source told Sky Sports News on Tuesday his agent was in London to discuss a deal.
Brazilian central defender David Luiz had been snubbed by manager Antonio Conte and Gary Cahill's poor form meant that Chelsea had to utilize a young Dane called Andreas Christensen in the heart of the defence. We know we can win something with him.
"I can only speak on behalf of my client and reaffirm that there has not yet been any meeting with the Chelsea management".More news: Supreme Court rules in internet sales tax case
"When a person like this comes to a new club, he needs time".
And it is believed Sarri has identified his former striker as a prime transfer target for when he takes over at Stamford Bridge.
We have seen many experienced players struggle to perform well in the Premier League and some might even recall Andriy Shevchenko struggling a bit during his time at Stamford Bridge. "At Chelsea I think it will be the same".
Conte was known to be disappointed with the business that the club did last summer, leading to a rise in tensions between himself and the club's hierarchy.
The 31-year-old, who scored 22 goals for the Italian League runners up last season, scored a fine goal in the Red Devils 3-0 win over Panama on Monday evening in their opening Group G game, a group that they are favourites to win.