McManaman clattered knee-high into Massadio Haidara, who was subsequently carried off on a stretcher with suspected ligament damage, but the youngster escaped punishment in the first half of the Latics' vital 2-1 win.
The 20-year-old's challenge provoked anger from the Newcastle bench at half-time with assistant manager John Carver being sent to the stands - along with Wigan coach Graham Barrow - after twice trying to confront McManaman in an ugly melee.
To add insult to considerable injury, Arouna Kone's 90th-minute winner - after Davide Santon had cancelled out Jean Beausejour's first-half opener for the hosts - appeared to come off Maynor Figueroa's hand in the build-up.
"Remember it's Callum's full debut in the Premier League. I haven't seen the replay, I believe that he touches the ball and then it's a bad challenge, but it's nothing malicious, he's not that sort of boy," the Spaniard said.
"It's the normal enthusiasm that you get in your debut.
"I can't really comment too much because I haven't seen the action but I can guarantee that Callum McManaman is a young man full of talent and in his debut probably showed the enthusiasm that you expect, but he's not a malicious player."
Martinez added: "I think he wants to contact the player. I don't know if he's done it already but he will do that because when you get an injury in that manner you obviously don't want to leave any bad feelings.
"If Callum hasn't apologised yet then he definitely will do that because we're a football club where those values are very important."