Conte flew into London to sign a three-year contract at Stamford Bridge this week after announcing his decision to step down from his post as Italy manager.
Interim Blues chief Guus Hiddink will officially hand over the reins this summer after Conte leads out his country at the European Championships in France.
Conte is already beginning to draw up transfer targets ahead of that date and made his presence felt with a surprise visit to the training ground on Tuesday.
His appointment has also sparked debate among supporters after being confirmed as Jose Mourinho’s permanent replacement.
The response from fans to the news has been overwhelming positive and a GetWestLondon Twitter poll revealed 90 per cent are happy with Conte getting the job.
Hundreds of Blues followers took part in the online survey and many also commented on the arrival of the 46-year-old former Juventus supremo.
Are Chelsea fans happy with Conte's appointment?
One user, posting under his @TMacReturns handle, wrote: “Simeone and Pep were higher on my list but he rejuvenated Juve and I hope he can do the same for Chelsea.”
This support for Conte comes while he faces allegations back in his home country as part of a match-fixing scandal.
Prosecutor Roberto Di Martino is seeking a suspended six-month match-fixing sentence for Conte as the trial got underway with a hearing without the new Blues boss.
He is accused of sport fraud in 2010 to 2011 when he was coach of Siena, with the club’s 1-0 win at Albinoleffe in May 2011 being probed.
Siena's 2-2 draw at Novara, also in May 2011, was dropped from the inquiry.
Conte, who has denied wrongdoing, served a four-month ban during the 2012 to 2013 season during his time at Juventus after failing to report fixing at Siena.