The 19 year old told the Barclays Premier League Podcast that Gerrard was a regular source of advice and encouragement.
"I couldn't ask for a better captain," he said.
"Before every game he is helping me in terms of what player I am up against.
"To have someone like that to encourage you is great."
Sterling is also grateful to Rodgers and added: "He was trying to get me settled off the pitch and, on it, he was telling me to be more at home, to be more relaxed on the ball and express myself. That has really helped me.
"He has made me realise I am here on merit and I'm not just here because of what I've done in the youth teams.
"When you are training with Gerrard and (Luis) Suarez it is a bit nerve-wracking but, after a while, you get used to it and you start being yourself and start expressing yourself.
"I think I am getting into that zone where I feel I can express myself to the fullest, not be shy, and come out of my shell.
"I am really settled and really happy to be in the team."
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