The Manchester United academy product was joined by the £75m Belgian from Everton over the summer.
Both have started the campaign well with Lukaku taking the headlines after firing three goals in three games.
And Rashford has admitted it would be great if the pair could strike up a partnership like United greats Andy Cole and Dwight Yorke.
While the heroes of 1998/99 played up top together Rashford has been forced out onto the left to accommodate Lukaku - for now at least.
The teenager said: "It would be great if we could be like them.
“But the most important thing is for us to work for the team together.
“It’s just clicked, we’ve got that understanding.
“We’d never met before his arrival, and we didn’t know what each other was like.
"But when we got on the pitch together, we just knew where each other was.
“Hopefully we can keep growing the relationship more and more.
"Obviously it’s only in the early stages and the better we get at playing together, the better the results will be for the team.”
