'Our target is to win the title and be successful during the season, not necessarily looking at what Tottenham are doing'.
Spurs finished above Arsenal last season and while Giggs sees Pochettino as possessing the best squad at the moment, he still believes that they have some way to go before coming the true dominant force in North London.
"Success is ultimately winning trophies".
Arsenal trail Pochettino's side by four points going into Saturday's north London derby, though the Czech global insists that The Gunners focus remains exclusively on adding more silverware.
But Cech has said that if Spurs really want to show how far they've come, they need to win a trophy, something they haven't done since their League Cup victory since 2008.
Manchester City are clearly the favourites to win the title this season but former Red Devils star Giggs is still convinced that Jose Mourinho's men will run them close in the title race.
"The big factor was the appointment of Mauricio Pochettino", Cech told Sky Sports. "You can see from his work at Southampton, he showed that he is very capable as a manager and coach". Their last UEFA Champions League campaign prior to this season was very uninspiring and disappointing, but they've made some major noise this year.
With their contracts running out in 2018 it has been suggested that Arsenal should allow both Alexis Sanchez and Mesut Ozil to leave for the good of the team. "There was always something missing but I would say the difference was when Pochettino came".
"Tottenham have also been impressive and I had thought they would struggle going for the title with the Wembley and playing in the Champions League but they've gotten over it really well, so I'd have them third in the mix", he added.