When asked about the Argentina goalkeeper taunting him after the World Cup final, Kylian Mbappe said he wouldn't waste energy on useless things.
There was a minute's silence for the player during the celebrations in the dressing room.
"Celebrations are not my problem," Mbappe told RMC Sport.
I don't waste my time on useless things.
Martinez, who also made a rude gesture with the trophy for the tournament's best goalkeeper in the wake of Argentina's shoot-out win on 18 December, is reportedly due back to training with Aston Villa on Thursday where manager Unai Emery has said he will speak to him about his celebrations.
The result of the final would not affect the relationship between the two players.
"After the match, I talked to him and wished him good luck," he said.
For me, it was the quest of a lifetime, but I failed so you always have to be a good sportsman.
Les Bleus' penalty-taking during the shoot-out has caused a lot of concern in France.
Former France defender Adil Rami called Martinez "the most hated man", while French congressman Karl Olive said Fifa should rescind his best goalkeeper award.
A late winner by Kylian Mbappe against Strasbourg on Wednesday evening gave Paris Saint-Germain an eight point lead at the top of the French league.
The World Cup's Golden Boot winner is currently the top scorer in France with 13 goals.