The young defender impressed in the 2-2 draw with Manchester City.
The youngster completed a move from Leeds United earlier this week, and was handed his first appearance by manager Slaven Bilic in the 2-2 draw with Saturday, as he replaced the injured Carl Jenkinson early on.
He put in an impressive display as well, more than holding his own against City’s array of attacking talent in an entertaining game at Upton Park.
Song was one of those impressed, admitting he told the youngster he is set for a bright future in the game.
"We are happy because we have some players who are coming back from injury, Lanzini's coming back as well,” he told whufc.com.
"Jenks was injured, but we have a young player who came in for his first game, it was brilliant.
“He shows he's not scared of anything. It was a very good start for him and I told him 'good luck, you have a very good future.'"
Byram will now be eyeing up the chance to make the right-back spot his own in the near future.
First choice right-back Jenkinson is only on loan from Arsenal, and so far there has been no indication that his loan move will be turned into a permanent one.
That means the position is very much up for grabs, and after an impressive start against City on Saturday, Byram will fancy his chances of making the position his own sooner rather than later.