However, the Swedish full-back has maintained that "money talks" and is realistic enough to accept that if a big offer was put forward then he, along with others, would be tempted.
As the transfer window prepares to re-open at the end of this month, speculation is rife about a number of Celtic's big stars.
Gary Hooper, Victor Wanyama, Georgios Samaras and Lustig himself have all been linked with moves elsewhere.
The right-back is relishing his opportunity to play Champions League football at the minute and believes that Celtic's progress to the latter stages of the competition could be a carrot in both keeping and attracting players.
He said: "Of course, money is money and money talks. Four or five years ago I don't think many players would have gone to Russia but now they have got money and that is important."
He was keen to stress, though, that he is fulfilling personal ambitions with Celtic at the minute.
"I signed a year ago and started to play after the summer," he said. "I am really happy here and I feel I am getting better and better.
"The Champions League is the biggest tournament and if you are playing in that then of course other teams will look at you, especially now when the window is just about to open.
"There will be rumours about a lot of clubs and players but you need to stay focused."
The news about interest from Rubin Kazan was broken to Lustig by a member of the Celtic backroom, but the player did not dwell on it for too long.
And he has maintained that there has been no formal contact made between the clubs.
"One of the staff at Celtic told me," he said. "I am flattered that there are clubs who would want me.
"But I am 26 now and since I was 18 there have always been clubs who wanted me. I think it is dangerous if you start to think about a club wanting you because it was written in the paper.
"I haven't heard anything from Peter [Lawwell] or my agent."
And the fact that he, his wife and child are settled in Glasgow is also important to Lustig, who has impressed in recent months with Celtic.
"I love the club, I'm settled and the people are really friendly," he said. "My wife is treated really well too.
"I was a little bit surprised at how friendly the people are. In Sweden if you drop something in a coffee shop you leave it, over here you pick it up!"