The Sky Sports pundit was full of praise for Arsenal's new signing.
Indeed, Cech was on hand to give the Gunners a safe pair of gloves in between the sticks, making important saves but primarily helping organise Arsene Wenger's back four.
He was up against his former side in Chelsea and kept a clean sheet while his new team lifted a trophy at Wembley Stadium.
And Neville feels Cech's biggest strength is his ability to make things look simple.
Cech has that habit of making things look as simple as they are for a top GK.— Gary Neville (@GNev2) August 2, 2015
Arsenal will be hugely boosted by their 1-0 win over Chelsea but, this time last season, they had beaten Manchester City 3-0 in the same tournament. They subsequently finished below Manuel Pellegrini's men in the Premier League.
But the Gunners shut the Blues out convincingly and Jose Mourinho's men looked way off the pace.
Naturally, once pre-season is over, Chelsea should be sharper. The first psychological blow, however, goes to Arsenal. This was a big morale-booster for both the north London side and their new goalkeeper Cech. Is there more to come from them?