The former Swansea City boss has been given the first few months of his first campaign at Anfield to settle into his new role and is grateful that patience has been allowed in order to get the Reds results to a consistent level.
Following the surprise sacking of Chelsea's Roberto Di Matteo, Rodgers spoke about the cut-throat nature of being a football manager in this day and age.
"If you believe in a manager and put him in place and give him time what has been proven in this country is that can lead to success," Rodgers told reporters.
"I think those early months were always going to be difficult; you are trying to instil and implement ideas initially without a great deal of success.
"Those early months could have been difficult but in terms of myself, players and staff we were very much focused on our job and there has been no change in ourselves, only improvement.
"All you can do is have an inherent belief in how you work and I believe this is the way the club wants us to work."
He added: "I have been grateful to the board here because in order for me to come here that [support] was something which was going to be important because if we were going to keep the club moving in the right direction it was going to need some stability."