Rashford is enjoying a season of maturation with the Red Devils, having already scored 16 goals this term, one less than the entirety of last season.
The England international has thrived out on the left-flank, and Solskjaer sees similarities with Juventus star Ronaldo.
Solskjaer said: "It's very easy to compare the two of them, yes.
"Both with skills, body shape, attitude, attributes - everything.
"The boy has every chance in the world to become a top, top player. Let's hope he continues like this."
But Solskjaer insists he doesn't want to put extra pressure on Rashford by setting targets.
"I don't want to talk about the amount of goals," he said.
"As long as he keeps being positive and being direct and thinking about getting in front of the goal and getting chances, he'll score goals."