The 19-year-old forward came off the bench to complete the rout at Old Trafford last week before being denied the chance to continue that form when fan protests saw last weekend's scheduled meeting with Liverpool postponed.
Greenwood has played most of his football over the past two seasons as a right-winger, but Solskjaer cautioned a keen eye for goal is not the only attribute needed when it comes to being a specialist striker.
"The Liverpool game was going to be his 100th game and we spoke about getting the winner in that," he said.
"We've spoken about whether he's going to be wide right or be a number nine, because you've got to stick your head in there.
"He's a pretty boy and I'm not sure if he's going to do that.
"Keep doing what he does, he's got a very bright future, I'm sure of that."