The rumours emerged after Sterling turned down a reported £100,000-a-week deal with the Reds, despite Rodgers urging him to sign the 'incredible offer'.
The England winger plans to re-enter contract talks at the end of the season and concentrate on his football for the time being.
The 20-year-old claims there are no hard feelings between the pair and insists he doesn't have a bad word to say about the Northern Irishman.
GETTY
Raheem Sterling has a 'good' relationship with boss Brendan Rodgers
There's nothing bad to say about Brendan
Raheem Sterling
"I speak to Brendan on good terms," Sterling said.
"He calls me when he needs to talk to me and I can talk to him when I want.
"There's nothing bad to say or think about Brendan.
"He's been really good to me since I came into the team and he's always tried to help me."
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