Per Nick Ames of the Guardian, Conte said: "Everything is possible".
Asked if he could understand Chelsea supporters' confusion at their club's failure to make a bigger play to sign Sanchez, Conte replied: "I don't know".
"Also if you won last season the league and reached the final of the FA Cup - this is the history of this club for the manager".
"I appreciate a lot this player because he is a really good player, Vardy".
Well, Marcotti explains the current Chelsea manager already wanted to leave in the summer, only to stay when he realised he'd have to pay a very expensive penalty if he did.
Everton General Meeting
Mourinho, former manager of Inter Milan and Chelsea, had struck a nerve.
That is why ex-Barca boss Enrique is also being considered, with the 47-year-old now out of work after leaving the Nou Camp last year.
The Italian's position has been the subject of speculation over a rumoured frustration regarding transfers.
On the other hand, Allegri is contracted until 2020 with the Italian club and the Bianconeri arenot keen on letting him go. In football now it's very hard to predict if you can stay for many years in one club, especially now in England. I don't know but, probably this weekend, he's going to defend Arsenal colours, so I don't think it's correct to say things about Alexis Sanchez. I have a lot of experience in dealing with this type of situation but there is something odd if after the first game, which we lost against Burnley, the press push quickly to sack me.
However, Conte said after the game that Hazard did not have an injury problem and that he was purely making a tactical choice.
Mourinho also gave an update on striker Zlatan Ibrahimovic ahead of Monday's Premier League game against Stoke (20:00 GMT).