Lucas is pleased he did not leave Liverpool in the summer after emerging as an important member of the first team at Anfield.
The Brazil international was told in the close season he would be sold if a suitable bid was received in the transfer window.
As a result, Lucas was linked with Juventus, Sevilla and Santos, and the 23-year-old has confirmed he was the subject of "a few offers".
But Liverpool decided not to sell and the 2007 arrival from Gremio is now an integral part of manager Roy Hodgson's rebuilding process at Anfield, with reports suggesting a new contract is on the horizon.
"When they told me, I said I will try to find a club, but that I would not go just anywhere," Lucas said in the Daily Telegraph when asked about Liverpool's summer intention to sell.
"[I said] I think I can be at a good club, since Liverpool is a good club and I had been here for three years.
"But I also said I would fight for my place, I will train, that I am a professional. It was not easy, but sometimes you have to be calm.
"A few offers came, but Liverpool did not accept them. I am glad that I stayed, because I am playing well, helping the team, and I am more important now than I was a few months ago."