Luiz, who has captained the Brazil national team on multiple occasions, said he was focused on helping the side rather than captaincy.
"I think it continues to be Gary, why not?," Luiz told reporters. "It's not about the armband, it's about your leadership every day, your discipline and the way you try to help the team.
"I have already had (worn) the armband here and I always try to be a leader and try to help. I have loved this responsibility since I was young. I was the youngest captain in Benfica history, so I always take responsibility.
"When you play for big clubs you always have responsibility. This is just a case of us having to carry on."
Premier League winners Chelsea will play in the Champions League after last season's absence from the competition and the 30-year-old said the team should be gunning for every title on offer.
"We need to do better than last season if we want to win again the Premier League and do well in Europe in the Champions League," he said.
"When you play for big teams you need to have ambition. Chelsea is a big team, you want to fight for every title; it doesn't matter the competition.
"After that, it depends on many things, but we're going to fight for the Premier League title, the cups and for the Champions League."
Chelsea will compete for their first trophy of the next campaign when they face FA Cup winners Arsenal in the Community Shield on Aug 6.
(Reporting by Aditi Prakash in Bengaluru; editing by Amlan Chakraborty)
Share
