The Brazil international enjoyed a fine season for the Blues, helping them to third in the Premier League and also Europa League glory.
Luiz, who was signed as a centre-back but was often used by interim boss Rafa Benitez last season as a midfielder, has been linked with Barca in the past and admits they were keen to sign him at one point.
He told the Daily Star: "My objective is to be happy and this is possible playing always in a team that controls the ball.
"Barcelona is the team that has developed the best football in the last few years.
"I know Barca were interested in my services in the past but now I do not have any news."