Sanchez was drafted into the team to face Scott Parker's team and produced two excellent saves in the second half as Brighton battled to a 0-0 draw at Craven Cottage.
Sanchez, who was on loan at League One Rochdale last season, denied Ruben Loftus-Cheek with an outstretched leg and minutes later was down bravely to keep out Ademola Lookman with a double save.
It was only the second time this season the 6ft 6in stopper has played in the Premier League as regular No 1 Maty Ryan was dropped after a shaky display during the 3-0 loss at Leicester last Sunday.
Sanchez also played well in his previous match which was the narrow 2-1 loss at Tottenham earlier this season but was then out of the team until tonight.
Potter however was once again impressed with his performance against Fulham and now feels he has earned the right to keep his place for the crunch clash against Sheffield United at the Amex Stadium this Sunday.
"He will," said Potter when asked if Sanchez plays ahead of Ryan against Sheffield United. "He earned his place on merit and how he has worked.
"His performance was good tonight. He has some incredible attributes we wanted to use.
"I thought he did great, he's a very good goalkeeper and he used his quality. He has huge potential and we have to try and help him fulfil that.
"He is in on merit, he is training well and his quality is there for us. Rob has quality that we believe in a lot and at times you have to give them the opportunity to show that.
"He's quite relaxed and laid back. He's ambitious and confident and a young man that wants to do well and he has qualities that are hard to find."
Brighton were slightly unlucky not to take all three points at Craven Cottage. Danny Welbeck missed a fine chance in the first half after good approach play from Adam Lallana, Solly March and Tariq Lamptey.
Lallana had a second effort chalked-off by VAR for a handball in the build-up by Welbeck and Adam Webster then saw his powerful header crash back off the bar with the Fulham keeper well beaten.
Potter said, “You'd expect a tough game between two sides that are fighting and you saw that. We hit the bar, we had a goal disallowed – I thought the second half performance in particular was really strong.
“The spirit of the players was fantastic, I can't complain about that in any way. There was personality out there, they worked for each other, they had everything but the goal."