The 18-year-old scored from close range as the Reds opened their pre-season campaign with a 1-1 friendly draw against Toronto FC in Canada.
His celebration included a hug for the manager.
Afterwards Rodgers told liverpoolfc.com: "He's a really, really good kid. He's come in, he's taken everything on board that I've talked about.
"He's technically good, he's got a natural eye for a goal - if he doesn't arrive at that moment, the goal doesn't go in because the defender would have got to the line to defend it.
"He's got that natural instinct to score but I was also pleased with the cleverness in his pressing. He pressed the ball really well. That forced them into some mistakes.
"It was a great moment for him. His father flew in this morning from Liverpool, so to get here and to see the goal would have been a special moment."