"We mustn't be happy", Conte told reporters.
"This season will be very hard in all aspects, for this reason we must be focused game by game and try to do our best". For this reason we have to put 150 percent in; 100 percent won't be enough. We must find the will to fight. Everyone can see our situation.
"In terms of the season starting, I don't embrace that idea", he said. "Last season is the past".
However, the Premier League champions failed to produce anything like their best performance level, and suffered the consequences, falling to a 2-1 defeat - and you can't say we didn't deserve it.
"This season we are facing four competitions and we are having a few problems doing this".
"We were lucky to have not too many injuries but we have recently picked up a few".
The Blues were without the services of Alvaro Morata and N'Golo Kante, although Wilfried Zaha returned for the Eagles.
Chelsea's players have usually been granted a day off after a match during Conte's time in charge, but were pictured training at Cobham on Sunday following their lacklustre performance against Palace. But although Chelsea dropped to fifth place after a second successive league defeat, Conte urged them not to worry about whether City are unstoppable. You know very well the importance of this player to our team'.
"This season will be hard but we must also understand we have to try to build something important for the future". A defeat is always a defeat... this season will be very hard for us. Last season is the past. Today Moses's injury is another big loss for us. They struggled without the Spanish striker against Palace, with Michy Batshuayi failing to impress.
"They've lost [Alvaro] Morata and they'll hopefully get him back as soon as possible because it doesn't look like [Michy] Batshuayi is the answer". "But it is normal to be angry after a bad performance - but every player had a bad performance".
Conte was evasive when asked if he has faith in Batshuayi's ability.