Since his arrival in the summer of 2009 Martinez has progressed past the fourth round of any knockout competition just once, with the Latics going on to lose to Arsenal in the quarter-finals of the 2010-11 Carling Cup.
Wigan's six other cup appearances under the Spaniard have seen them fail to get past the fourth round and, in the FA Cup, two of the previous three seasons have seen them exit to npower League One sides Notts County and Swindon, who were in League Two at the time.
The fact Martinez makes significant changes for cup competitions and plays youngsters - with the third round replay against Bournemouth unlikely to be any different - goes some way to explaining their results.
"In my eyes they are strong players or they wouldn't be with us," he said.
"It is all good for me to say I want to look at the youth, give opportunities to the young players and create a path to the develop the youngsters if I am not going to be brave enough to give them opportunities.
"I want to create something special at the football club where we can develop our youngsters.
"In the last game against Bournemouth we saw the debut of Roman Golobart, who has been on a three-year programme.
"He was sent on loan to Inverness in the Scottish Premier League and he has come back stronger - there are some youngsters that deserve that opportunity.
"If we don't win, I will take that responsibility but I will never be shy of giving youngsters opportunities and making sure that we are producing our own players."