Irvine recently left his position as the club's Academy Director to become the new Head Coach at West Brom, while Stubbs left his job as under 21's manager to take the manager's role at Hibernian yesterday.
However, Martinez feels the structure of the academy is equipped to deal with the losses. He told evertonfc.com: "The academy is more of a focus of the football club, rather than having individuals."
"We have fantastic coaches and fantastic people ready to help that path and we will always make sure our youngsters have every opportunity to develop."
Everton are credited with having an excellent academy set up, with Ross Barkley's breakthrough a major plus point for them this year. Other young players tasted success this year too, with Luke Garbutt making his Premier League debut and Ryan Ledson and Jonjoe Kenny enjoying European success with England's under 17 side.
The club have usually gone with ex pro's in their academy set up, with the likes of David Weir and Stubbs havng left but Duncan Ferguson still playing a part.
If Everton were to go down this route again, who would you like to see come in to the setup? Do you think Everton will suffer from losing Stubbs and Irvine? Vote and comment below.