Wednesday night's 3-1 loss to Atletico Madrid saw Jose Mourinho's side crash out of the Champions League at the semi-final stage, with earlier exits in the FA Cup and Capital One Cup leaving just the league title to claim.
Chelsea are outsiders to win a fifth top-flight crown following recent losses to Sunderland and Crystal Palace but Luiz feels that a trophy is a must if the season is not to be deemed a failure.
|14/1||Chelsea are 14/1 with Paddy Power to win the Premier League title|
"We are a big club and we want to win trophies. We keep fighting in the league. We cannot win automatically. It will be difficult.
"We have many fantastic players and everyone wants to win trophies. It is normal when you sit at home and watch television to see Chelsea fighting for trophies.
"We need to be men and it is not always possible to win. The season we won [the Champions League] was a s*** season until the end and then we won two titles at the end."
Fernando Torres gave Chelsea the lead on Wednesday night before goals from Adrian Lopez, Diego Costa and Arda Turan saw the Primera Division leaders progress to the final.
Captain John Terry was seen in tears at the final whistle, an expression of emotion that Luiz admires as it shows a player's "personality" and "fight".
He continued: "Everyone is crying. Nobody likes to lose a Champions League semi-final - not just John.
"We have to remember we are lucky people who have the best job in the world. We have to respect that people at home do not have the same life as us.
"The most important thing is the personalities for me. We need to fight in many situations. This is sport, this is football. Everyone speaks about results but, in the end, you need to remember everyone here is human. Everyone gave their best all season. Everyone can make mistakes – that is normal - but you cannot hide yourself from any situations.
"I do my job every day. I gave everything. If there were many s*** games, when you didn't run, then fine but we gave our best in many, many games but sometimes it's possible to win, sometimes not."