Elanga's goal was United's second and it came from a fine finish on his left foot from outside the box. The young striker also scored for United in their final game of the Premier League season against Wolverhampton Wanderers.
He also received a call-up to Sweden's under-21s squad after he impressed towards the end of last season. Elanga then went on to score on his debut against Finland.
Ole Gunnar Solskjaer has plenty of youth coming through the ranks and the likes of James Garner, Facundo Pellistri and Teden Mengi were all playing for clubs on loan last season.
When Solskjaer was asked whether Elanga may benefit from a season on loan, he said: "You know it would be easy to say the boy should go on loan but he's doing so well.
"He's electric, he's got pace, skill, he's not afraid of anything, he has the courage and bravery of a Man United player and today he created chances for others and for himself.
"He scored a goal with his most difficult opportunity," Solskjaer added.
Solskjaer then admitted that a decision has not been made on whether or not Elanga will be sent out on loan and that he needs to determine what he thinks is best for his development.
"I wouldn't be surprised if he stays here. It depends, and we know it's important for him to develop and get game time but at the moment he is one of them that we've not really decided. If he keeps on like he is, I might want to keep him," the United boss said.
With Anthony Martial only just returning from injury and Marcus Rashford set for time out on the sidelines, Solskjaer may feel he has no other option than to keep Elanga in the squad for depth.