Cech made a remarkable one-handed save to deny Liverpool's Andy Carroll a dramatic late equaliser at Wembley on Saturday and in the process effectively clinched Chelsea's fourth FA Cup triumph in six seasons.
But it was initially unclear whether Cech, who pushed the ball to safety via the crossbar, had actually managed to reach Carroll's header before the ball crossed the line.
Television replays were inconclusive, while one computer image suggested most but not all the ball had crossed the line.
Cech is adamant he made a legitimate save, but the Czech Republic international still believes goal-line technology must be introduced to ensure teams aren't unjustly wronged in such high-stakes occasions.
"I'm sure it didn't go in. I haven't seen the replay but at that moment I was sure I got it on time," Cech said.
"But I have been saying bring in technology for 10 years. Every time in the big competitions you see a goal which is not allowed when it is a goal or vice versa.
"You are sitting at home in front of the tele and in 10 seconds you can tell if it is a goal, so you think, 'Why can't the officals be told if it is a goal or not?'."
FIFA, world football's governing body, are stepping up experiments with potential goal-line equipment, with one system to be tested at an English non-league cup final in Southampton next week.
Cech claims there is no reason why football should have to wait any longer to benefit from technology already used for several years in other sports such as tennis and cricket.
"If you look, football is the only sport in the world that doesn't have that help at the highest level," he said.
"I don't understand why they won't do it. It should have started 10 years ago.
"I understand that not every league would have the chance to have it for financial reasons. But the Premier League and somewhere like the Czech league are completely different.
"If the Czech federation doesn't want it the other leagues should still be able to."
Chelsea saviour Petr Cech calls for technology
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