The Blues cruised to the Premier League title in the 2016-17 campaign but endured a difficult pre-season, with a number of key players leaving and Diego Costa refusing to return to the club.
Conte told reporters after the game at Wembley Stadium: "This is a perfect response of the champions.
"We won the league last season, winning 30 games, that is not easy. We lost in the FA Cup final. We have arrived in some problems with bans and injuries but we must be ready to work and focus on the pitch.
"The club is trying its best in the transfer market to improve our squad but I must be happy."
Up next for Chelsea is a Premier League home game against Everton next Sunday.