The Blues lifted the Premier League title with a record number of wins in Antonio Conte's first season at the helm and also fell just short in the FA Cup, going down 2-1 to Arsenal in May's final at Wembley Stadium.
Chelsea's reward for a memorable league campaign is a place in the Champions League, which Luiz believes his side have the quality to win, as well as prevailing in the EFL Cup, FA Cup and English top flight once again.
"When you play for a big club you have to have big ambitions," he told the club's official website. "Chelsea play all the competitions and we try to win all the competitions, so it's my ambition too. We will try to win everything."
Speaking about the champions' pre-season preparations, the Brazilian added: "It's difficult to be back in training. It's a bit hard in pre-season, like always. But we have to prepare ourselves in the best way because now is the time to get the oxygen for when we need it during the season, so now is the time to work hard and rest well.
"We work hard at Cobham [the club's training ground] and then at home we need to be careful with the food, with the discipline to sleep. I have stuff I do at home to recover well also, so it's part of our job. It's not just the five or six hours we are here at Cobham, it's important to act like a professional every day of the year."