Everton drew 0-0 with Crystal Palace at Selhurst Park yesterday.
Robles was required to make a number of saves yesterday, as Everton picked up a 0-0 draw.
And Martinez was pleased with how his side defended during the second half when they were put under a lot of pressure.
"You would expect for Crystal Palace to carry a threat but we defended really well,” Martinez said. “Joel Robles was really good when he had to be and equally Wayne Hennessey had to be at his very best to save from Seamus Coleman, Ramiro Funes Mori and Ross Barkley.
"The performance from the two sides were very equal in front of goal. That pleases me as we had to do it with 10-men for 45 minutes."
Robles was actually playing second fiddle to Tim Howard at the start of the campaign, but he has forced his way into the line-up now.
Palace had numerous chances in the second period of the match, after Everton had James McCarthy sent off.
The Republic of Ireland international picked up two bookings, and the Toffees were put on the back foot after going down to 10.
Everton have struggled defensively this season, so their clean-sheet is one positive to take from the match.
Everton have moved up to 12th place in the Premier League table, after picking up the point, while Palace are surely now assured of their top flight status again for next season.