Kapil, who joined the ICL's executive board as its chairman, said he was not perturbed by a recent letter from the BCCI asking him not to associate with the rebel league.
''I have already sent my reply to them. They can remove me from the NCA if they want to,'' he told Aaj Tak news channel.
He said he would not budge from his position as he was doing nothing wrong but only contributing to the game.
''They wanted me to contribute to the game of cricket, and I am just doing that, so they can not challenge me,'' he said.
Kapil also said he was not losing his sleep over the BCCI decision to discontinue pensions for former players joining ICL.
''I did not go to them asking for pension, and if they want to stop it, what can I do? Let them stop it,'' said the country's only World Cup-winning captain.
Kapil also said he did not consider the ICL as a potential rival to BCCI.
''Why do they see ICL as a parallel or rebel body? The BCCI is trying to promote the game in India and if somebody else is pumping in more money why is it a problem with them?'' Speaking to the same channel, BCCI Secretary Niranjan Shah said former players like Kapil would have to make a choice.
''We have decided not to recognise ICL in our Working Committee meeting as no state association was in its favour.
We don't want to promote anybody who wants to be a parallel body. We will not re-think on this,'' he said.
Former selection committee chairman Kiran More had also recently resigned from the post of secretary Baroda Cricket Association to join the ICL board.