Martinez recently brought an end to a four-year stint at the DW Stadium, with relegation out of the Premier League convincing him that the time was right to move on.
He has been snapped up by Everton as successor to David Moyes and will be charged with the task of maintaining the impressive progress made at Goodison Park over recent years.
It has been suggested that he will turn to familiar faces to aid him in that quest, with the likes of James McCarthy and Arouna Kone already being linked with moves to Everton.
Martinez has refused to speculate on the identity of those in his transfer plans, but insists there is nothing preventing him returning to Wigan for recruits if he sees fit.
He said: "No, the chairman (Dave Whelan) has been very straightforward and clear with that.
"He understands that there will be players leaving, not just to Everton, but they will be leaving because the Premier League is where they want to be.
"But nobody will go on the cheap, nobody will be leaving because they want to leave.
"Everyone in football has a price. He understands that any team can lose players when a club gets relegated, not just Wigan.
"The chairman at Wigan has always been very open about that. He never stops players moving and going."