The club have already qualified for the last 16 as group winners, which enabled interim manager Ralf Rangnick to make a raft of changes for their Champions League tie against Young Boys.
Savage, who is commentating on the match, did not hide his feelings when BT Sport presenter Jake Humphrey asked for his thoughts.
"I'm starting to tear up because Charlie has achieved so much in his young life," the former Leicester and Birmingham City midfielder said.
"He's never been top of the class but his application, his work ethic and desire has got him to where he is.
"My father, who's sadly not with us, would be looking down proud of his grandson. Even if he doesn't get on the pitch, whatever happens for the rest of his life he's been on the bench for Manchester United.
"He's done it on his own and all the coaches have played a huge part so I'm absolutely delighted.
"If he gets on to grace the Theatre of Dreams, his nana at home will be in tears now. He's a great kid and he'll do everything.
"He's a great player and has a wonderful left foot. He can run and I think he's the second fittest at the club. Take it all in because he's one very lucky boy but a boy who's worked incredibly hard."
The 19-year-old is clearly highly thought of by Man United coaches having signed a professional contract in April this year.
Jokingly, Savage could not help himself and said that he would have made subsitutions after Mason Greenwood gave United the lead.
"I'd make some changes now if I was the manager."