Rashford was only included in the starting lineup at Old Trafford late on after Anthony Martial picked up an injury during the warm-up.
The 18-year-old went on to bag a brace as Man United advanced to the next stage of the Europa League.
In what has largely been a season to forget for United, Rashford provided one of the performances of the campaign on Thursday.
United have a long history of bringing through young talent and playing attacking football and supporters saw both against Midtjylland.
If Martial fails to make a swift recovery, it is likely that Rashford will line up against Arsenal on Sunday. While his inexperience may be a source of worry for fans, the player himself will be looking to build on the momentum he has garnered for himself.