Panama's players stayed on the field to salute the fans several minutes after the match ended.
Martinez will hope that a win against Tunisia on Saturday in Moscow will see them qualify for the round of 16 ahead of schedule and take the sting out of a potentially powderkeg clash with England, the group's other big hitters.
Despite being held at the interval Belgium found another gear after the restart, Dries Mertens breaking the deadlock with a wonderful volley before Romelu Lukaku added a quickfire brace to secure a 3-0 success.
'But I want him to try to get more involved in the game, especially during the first half - as we know what he can do'.
The locals at the Fisht Stadium got behind the outsiders too, and they were given encouragement as Hernan Dario Gomez's side competed well in the first period. Whilst numerous other World Cup favourites squeaked clear with narrower friendly successes ahead of the tournament, Belgium fired on all cylinders. In the two pre-World Cup friendlies they played against Northern Ireland and Norway, they registered one loss and one draw, failing to score even once.
At the other end, Panama tried to expose Belgium's potential weaknesses at full-back.
But which players will Martinez be most pleased with after the win tonight?
Panama will be keen to make their underdog tag work in their favour as a side who have nothing to lose on Monday, against a Belgium team of whom much is expected in the coming weeks.
Zara Tindall: Queen's granddaughter has baby girl
A spokesperson for Buckingham Palace has confirmed that Zara, 37, and husband Mike Tindall , 39, welcomed a baby girl on Monday. Buckingham Palace said Tuesday the baby is the second child of Zara and Mike Tindall , a former English rugby player.
The Napoli man's cross looking for Lukaku was headed out by Roman Torres and on by Fidel Escobar.
Lukaku - so quiet in the first half - sprang to life.
Eden Hazard, meanwhile, will look to cut in from the left-hand side at will, as he has become famed for at Chelsea, and attack the heart of Panama's defence with his pacey and powerful direct runs through the channels.
Panama's chances were limited to a tame hook from Torres and a speculative effort that flew well over from Armand Cooper.
A 3-4-2-1 system has proved effective, providing an ideal balance between defensive resolve and attacking potential.
De Bruyne appeared restricted alongside Axel Witsel in midfield, while Eden Hazard could not find the required space to make an impact. The defending abilities of makeshift wing-backs (both Carrasco and Nicer Chadli) will also come under scrutiny when Belgium go up against quality oppositions. But the lack of fluidity will be a worry ahead of two more hard group games.
Panama, meanwhile, acknowledged that the difference in class had told.
Against Panama, Belgium did not have to use a Plan B but it still remains a doubt if Martinez has a contingency plan in place for tougher situations. In the second half, it was down to finding some composure in front of goal.