The was goal was very much made in Spain with Cesar Azpilicueta whipping in a mind-blowing delivery from the left as well as Morata satisfied it with a firm downward header.
Conte, who is targeting back-to-back Premier League titles, also spoke of the importance of integrating new arrivals into the squad.
'They keep training with us now and they will learn how we play.
It is not the first time Chelsea fans have been caught making offensive chants in recent years.
"He came from Real Madrid he f***ing hates the yids."The word has an anti-Semitic meaning. It has also been used to describe supporters of Chelsea's rivals Tottenham Hotspur, due to the perception that the north London club has a large Jewish following.
"The club and the players appreciate the fans passionate support, but the language in that song is not acceptable at all".
While they battled hard against the Gunners and Red Devils, taking both clashes deep into the second half, they did still end up losing both.
Conte's men were in control from the off and had the game wrapped up when N'Golo Kante added to Morata's opener on 50 minutes.
But the hosts gave themselves a great hope getting something meaningful in the encounter when Chelsea goalie Thibaut Courtois brought down Jamie Vardy in the 60th minutes in which the referee blew a penalty. Chelsea held on for the remaining half an hour to get a 2-1 win and all three points.
Playing overseas could also be an option for Vardy, who said: "That would be something I'd probably like to experience". I think somebody touched it a little bit, but it was a good goal and an important one for the team.