"It is a very honourable way to face mistakes," Martinez said.
The Football Association have also confirmed the Spaniard will not face disciplinary action over his post-match comments.
A former top-flight referee, Riley now heads
Professional Game Match Officials Limited,
an organisation that provides officials for the Premier League, as well as co-ordinating assessments of referees' performances.
"Mike Riley told me that he understands that with the level of refereeing in this league [officials] should get those calls right," the Spaniard revealed.
"We were unfortunate at the weekend and we've had a few bad calls over the season. There are many other clubs that have had them as well. It's important that we don't feel too aggrieved; that's part of the game and we need to accept it.
"In many ways the luck is going to level out.
"This is why the game is such a controversial subject between all of us, because good and bad calls are part of the game."
Wigan are 19th in the Premier League but are level on points with Blackburn and QPR above them and are only in the relegation zone on goal difference.
The Latics picked up eight points in March and Martinez is keen for the recent improved form to continue in the run-in.
"I don't want to keep talking about those [refereeing errors]," he said. "They stopped a positive result for us but it was the performance that allowed us to be in the position where we could get a positive result.
"We have a group that is used to facing adversity and a group that will maintain their level to the end of the season."
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