Sterling and the rest of City's players are leaving the handling of the UEFA ban to the club's hierarchy.
City CEO Ferran Soriano told the squad: "Trust me like I trust you, this will be dropped."
One person close to City players has told Sky Sports News that the players are only interested in playing football: "No one is going to kick up a fuss or rock the boat until the full facts come out."
Another source says the players still have faith in the people running the club: "Since this all started, they've all been told that City have done nothing wrong.
"That's still the message, so nothing's changed"