Pochettino guided Tottenham to second place last season, finishing above Arsenal for the first time in 22 years.
Despite their rapid improvement under Pochettino, Spurs are still in search of their first trophy since their League Cup triumph over Chelsea back in 2008 and Cech believes it's high time talk of a north London powershift was backed up with silverware.
"I don't think there is a power shift", Cech said. "There is always one odd year where things can change, but the most important thing for us is competing against the other teams for the Premier League title and for the glory".
Most of Mauricio Pochettino's star players will have had breaks from football during the global fixtures, with the likes of Harry Kane, Dele Alli, Jan Vertonghen and Hugo Lloris all picking up injuries that kept them out of contention for their countries.
Who makes our combined Arsenal and Tottenham Hotspur XI? His work at Southampton showed he is a very capable manager.
"For me that made the biggest difference because they have young, talented players as well as experienced players, their team is very well balanced".
Despite the one injury boost of Vertonghen's returning fitness, it looks like Spurs will have to do without his defensive partner in Toby Alderweireld due to the troublesome hamstring injury he picked up in the 3-1 win victory over Real Madrid in the Champions League. Success is ultimately winning trophies. Two years ago when we finished above them we were disappointed because we didn't win the title.
The first North London derby of the season kicks off on Saturday when Spurs travel to the Emirates in the first Premier League game after the worldwide break ends.