Cech believes Di Matteo has staked a strong claim to be manager on a permanent basis.
Cech said on ITV1: "Whatever happens to him he's got two fantastic cups and he's deserved that.
"I think he's done enough to get the job but now it's up to the board to decide."
"But as a player you hope you will have the same opportunity to play the final.
"It was a rollercoaster road, we all enjoyed it, and we got there in the end.
"I faced six penalties and six times I went the right way, four times I touched the ball."