The Ligue 1 champions signed the Brazil international from Sao Paulo at the start of the 2012-13 season before the playmaker joined up with his new team-mates six months later.
Although the club’s owners see the 21-year-old as a key player for the future, recent reports have linked Lucas with a move away from Ligue 1 as PSG step up their attempts to bring Chelsea midfielder Eden Hazard back to France.
However, the Brazilian, who was left out of the Selecao's World Cup squad, has insisted that despite rumours of his departure, he is content with life at PSG.
"I did not always play this season, but I've been in big games and I scored decisive goals. We won three titles and I consider myself to be fully involved [in the team],” he told Le Parisien.
“I am part of this adventure in this fantastic club with an ambitious generation. I am very happy at Paris.”
He added: "We're starting to see more and more kids with the PSG jersey. The reputation of the club has crossed the Atlantic and Paris will soon reap the benefits.
“With all the work and investment of our leaders, PSG will become one of the best clubs in the world.”