The Scot credits Pellegrini with whipping the squad into shape.
"You see who is at the top of the league now? Man City — the top players work hard. Liverpool — the top players work hard," Snodgrass said.
"This is what the manager is trying to do. Get the players who are really good players all buying into what he is trying to do.
"It took us the first month or so to get to grips with it in terms of results. You need to make sure you have a squad of players who are happy and coming on to do their best for you."