Martinez made nine changes at the DW Stadium and watched his side produce a disjointed first-half display against their League One opponents before recovering after the break to salvage a 1-1 draw.
It pitches the Latics into a trip to Dean Court in between vital Barclays Premier League games against Fulham and Sunderland.
So Martinez, whose last two cup journeys have ended against Swindon and Bradford, will continue to use the competition as a vital part of his younger players' education.
"I do show the FA Cup respect," he said.
"There are youngsters here I feel have a bright future, but we will never accelerate their development unless we play them in these competitions.
"That is what we have to do at this club.
"I don't just want to win games in the short term.
"The first team has to be part of a learning process. Fighting relegation is not an environment for youngsters to show what they can do."