The German decided to change goalkeepers at the end of 120 minutes, swapping Edouard Mendy for Kepa Arrizabalaga.
And Cech says the move showed the "strong unity within the team".
"In the Super Cup, Edou did his job during the game and then Kepa during the shoot-out," Cech told the club's website.
"This is something that we have to really appreciate because it just shows the strong unity within the team, that people respect decisions like that from the manager.
"Edou was aware of the plan and he supported it with no hesitation, which just shows that the team comes first and then the players are really happy to win things together with everybody playing their part.
"It was a huge responsibility for everybody to make the decision, as well as the players stepping in, because it's a big moment of the game.
"The manager had the idea since a long time ago so we talked about it and the team was ready for it.
"It always helps when people are not discovering a new situation but they know the plan and it just shows the manager trusts every single member of the team the same way and that the team is strong together.
"It's always difficult for everybody to play because it's a very competitive team with fantastic players in every position, including goalkeepers.
"So you might not play every game as a player but it still doesn't mean you are less important than everybody else.
"The Super Cup and the situation with the shoot-out proved that, as well as the start of the season where some people were coming late and were missing but the others stepped up.
"It's the job of the whole squad to have a good start to the season and of course that's been very positive for us."
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