Arsene Wenger's side re-ignited their flickering Champions League campaign with a 2-0 win over Bayern Munich at the Emirates on Tuesday thanks to goals from Olivier Giroud and Mesut Ozil.
Substitute Giroud profitted from a rare mistake from Neuer to poke home from close range before Ozil added a stoppage-time second that the German World Cup winner was unlucky not to keep out, and the win moves Wenger's men up to three points in their group.
On a night where both goalkeepers impressed, Neuer took the plaudits for save of the evening when he somehow managed to keep Theo Walcott's close-range header out with a powerful hand.
The stunning stop was hailed by many on social media after the game, and Cech, who was also in fine fettle against the Bundesliga giants, was thoroughly impressed.
In fact, the former Chelsea keeper thought that Walcott had scored as he watched on from the opposite end of the pitch.
Cech told Uefa.com after the game: "I thought we had scored. I saw the header and I thought it was in and suddenly the ball bounced back and it was an unbelievable save. He kept them in the game."
Cech was making his first Champions League appearance of the season for his new side, and showed what they were missing in the previous two defeats to Dinamo Zagreb and Olympiakos with an assured performance.
David Ospina was culpable in the home reverse to Greek side Olympiakos last time out, and Cech's display left many wondering why the 33-year-old was left out of the first two games.
Musing on his own display against Bayern, Cech added: "They were two key moments because obviously if Thiago scores early in the game then they would have had control, so it was a very important save at the start.
"I'm obviously glad that I made the save against Lewandowksi because in that moment we could have been 1-0 down and instead in a few minutes we were 1-0 up and had basically decided the game."
Wenger's men still prop up the table in Group F and face the daunting looking task of travelling to a revenge-seeking Bayern on November 4, but the Gunners will take heart from the victory against the Bundesliga champions that has given their flailing European hopes a much-needed shot in the arm.