The Scotsman has struck out at Hoops supporters following a final whistle bust up with a section of the home support at Celtic Park after their loss to Inverness
The Hoops succumbed to an impressive Inverness side at Celtic Park, with the visitors snatching all three points thanks to Billy Mckay netting the game's only goal, with Lennon coming under fire from a section of Celtic fans.
The unrest among the home faithful eventually resulted with Lennon becoming involved in an altercation with a fan following the final whistle, and while he says he is not happy with the performance from his team, he feels the criticism was unwarranted and that the fans need to be more patient.
"If the fans make it clear that they are not happy and they want me out then that's okay, I will do the honourable thing," Lennon told Sky Sports.
"They are frustrated. I disagreed with them, I didn't like what they said about the team. Look, if they are not happy with what I am doing and they want me to go, I will.
"I can't repeat it [fans' post-match words] because it is [in the] public arena but there were a lot of expletives and heavy criticism, which I didn't think was justified and [shows] a lack of patience with the team as well.
"If there was a lack of application and commitment I would be the first to criticise the team. I didn't see that but I did see a lack of composure and quality in the final third and that's what cost us.
"If I think it is justified then I don't have a problem with it but I don't think it was justified today. But they pay their money, they are allowed to say what they like. I've got my opinions on it and sometimes I give them as well."
Less than two weeks ago, Lennon led Celtic to a historic 1-0 Champions League victory over Barcelona at Celtic Park, which also marked the club's 125th anniversary.
The Hoops boss is adamant that improvements can be made, however, especially with their recent form in the SPL.
He added: "I am not happy with the league form, it is my team at the end of the day so I take the responsibility for it. It's not for the lack of trying to find the answers."