Jose Mourinho decided to cash in on Luiz prior to the World Cup finals, with Paris Saint-Germain taking the distinctive centre-half in a £50million deal.
The 27-year-old has moved on after three productive years at Stamford Bridge that delivered FA Cup and UEFA Champions League triumphs.
Luiz feels he played a leading role in those successes and is at a stage in his career where he is reaching is peak.
For that reason, he expects there to be some regrets when Chelsea reflect on the decision to do business with a European rival.
Luiz said in The Sun: “I have to believe that Chelsea or any team will miss me. I’m not arrogant but I’m confident in my own abilities.
“Paris paid a lot for me so they obviously believe in me – it is nice to be at a club where they really want you and where they show belief in you.”
Luiz has also expressed his surprise at seeing Chelsea allow vastly-experienced midfielder Lampard leave at the end of his contract – freeing him to sign for New York City and join their sister club Manchester City on loan.
He added: “I can only speak about my experience of playing with Frank and I still think he has lots to offer at the highest level.
“Not just because he is a great player, but also because of his experience in big games.”
As he prepares to take on a new challenge in France, Luiz is convinced that in joining PSG he has linked up with a club that is capable of challenging for major prizes at home and abroad.
He said: “I have good memories of Chelsea. I won the Champions League.
“I hope it’s not my only victory. I believe I can win it again with Paris.
“I have as much chance of winning major trophies here as at Chelsea or any other club in Europe.”