Martinez, as expected, rang the changes, although this was by no means a weakened Wigan Athletic line up.
James McCarthy, Scott Sinclair, Antonio Amaya and Jason Koumas all started the game as Martinez hoped to get a glimpse of what his frigne players could produce.
Koumas aside, the Latics boss couldn't have been happier with the performance.
The Latics started brightly and had the better of the game for long periods. Unfortunate to go in 1-0 down at half time, we were paying the price for not taking advantage of dominating the ball.
The consistently pathetic Koumas was withdrawn at half time and it took Charles N'Zogbia just two minutes to net the equaliser as he stormed onto Jason Scotland's through ball.
It was clear from the body language of Roberto Martinez on the tough line that he didn't want to go out of the cup with a whimper.
The players had come out for the second half with what appeared to be a verbal rocket up their backsides and Martinez continued this for the duration of the second half.
He was bouncing up and down on the touchline, challenging his players to chase every ball and keep Hull under immense pressure.
This attitude paid dividends as his players kept the tempo of the game high and out played the Tigers in every area of the pitch.
In particular it was the fringe players who led the charge. Antonio Amaya showed why Martinez brought him in from Almeira. He displayed good reading of the game and did not look troubled by the towering pressence of Hull forward Venegoor of Hesslink.
However the real stars of the show were both James McCarthy and Scott Sinclair. Whilst Charles N'Zogbia deserves the plaudits for his impressive brace from the substitutes bench, it was the displays of McCarthy and Sinclair that offer a great deal of optimism.
Accused in recent weeks of lacking a plan B, Martinez can no longer have this labelled at him. McCarthy ran the centre of midfield alongside Hendry Thomas from the first minute, whilst Sinclair looked a real threat with his explosive pace on the wings.
It was thoroughly deserved that both players capped their performances with goals. Aligned with N'Zogbia's brace this gave the Latics a confidence boosting thrashing of fellow Premier league side, Hull City.
The only down side was that of the crowd. Dwindling in numbers after a busy Christmas and New Year schedule, the magic of the F.A. Cup has faded somewhat in recent years and the DW Stadium is not the only ground to suffer.
Full marks to Martinez who drove his team on to a convincing win that, for the 5,000 or so in attendance, shoewd just what the 'master plan' really is.
Here is what the two managers thought.
Roberto Martinez
Charlie is a world-class player. I think this season we have seen consistency in his play and that is very pleasing.
Three games in a week is hugely demanding and today the role Charlie had to play was fantastic.
He played fantastically well and made a huge difference. His attitude was very good and his football is something the fans would pay money to watch.
From a football point of view we had to change. We were very sloppy and we didn't have enough direction in our possession.
We allowed the pressure of Hull to impose itself. The performance wasn't good enough but in the second half was a good reaction.
Today we 'signed' two or three players - that is important. You get young James McCarthy, Antonio Amaya and Scott Sinclair - they are getting ready for the demands of the Premier League. That was very pleasing.
Phil Brown
I don't like the way we played in the second half and I would like to apologise to the fans. The second-half performance wasn't acceptable.
A lot of people talk about the FA Cup still having its magic but when you look at the size of the crowd it was a poor turnout.
It was a poor turnout from us in the second half as well. As a manager I was very comfortable at half-time, probably the most comfortable I have felt. I felt we controlled the game and defended well when we needed to.
In the second half, for some reason, that went by the wayside. The threat of N'Zogbia's pace on the left-hand side seemed to be a constant thorn in our side and we didn't deal with it sufficiently.
Player ratings
Wigan Athletic: Pollitt 6, Melchiot (c) 7, Figueroa 7, Bramble 7, Amaya 7, McCarthy 9, Thomas 7, Sinclair 8, Koumas 3 (N'Zogbia [45] 8), Rodallega 7 (Watson [78] 6), Scotland 7.
Hull City: Myhill; Mendy, Zayatte, Mouyokolo, Kilbane; Cairney, Garcia, Halmosi (Boateng, 72), Geovanni; Ghilas (Cullen, 67), Vennegoor of Hesselink (Altidore, 79).
Third round results