Greenwood has been with the club since the age of seven and gone on to make 82 first-team appearances and earning himself one England cap.
Manchester United face the in-form Everton on Wednesday for a League Cup quarter-final clash.
England coach Gareth Southgate left the youngsters out of his squad for October's matches as punishment and branded their behaviour in the midst of the pandemic as "unacceptable".
Based on his experiences as a child growing up in the Manchester area, Rashford has been the inspiration behind a grassroots effort by restaurants, cafes and even some local governments across England to feed students during the current school break.
Greenwood was sent home from his first England camp for breaching coronavirus protocols in Iceland and he has reportedly been warned about his behaviour, including his time-keeping, by the club.
Ole Gunnar Solskjaer supportive of Gareth Southgate's decision to omit Mason Greenwood from England squad
Greenwood and Manchester City's Phil Foden were omitted from Southgate's squad on Thursday after being sent home from Iceland last month for a breach of coronavirus rules.
Harry Maguire returns to England squad for upcoming round of fixtures; Mason Greenwood, Phil Foden dropped
Maguire's Manchester United team-mate Mason Greenwood and Manchester City's Phil Foden were both omitted from the 30-man squad after being sent home from England's camp in Iceland last month for breaching coronavirus rules.
Premier League: Manchester United boss Ole Gunnar Solskjaer unhappy at England FA's handling of Mason Greenwood
Solskjaer said United tried to prevent the 18-year-old Greenwood from joining up with England, believing he needed some rest after his breakthrough season.
In a recently-filmed video, teenager Mason Greenwood appeared to breathe in nitrous oxide from a balloon. This comes a week after Greenwood and Phil Foden were sent home from England duty for breaching coronavirus rules in Iceland to meet women.
Premier League: Paul Pogba could miss Manchester United's first match due to late preseason training start
United manager Ole Gunnar Solskjaer said Pogba has had only a “couple of training sessions” since recovering from the effects of the virus that ruled the midfielder out of international duty with France.
UEFA Nations League: Cristiano Ronaldo crosses 100 national goals in Portugal win, Belgium put five past Iceland
Ronaldo, capped 165 times by Portugal, is second only to Iran's Ali Daei, on 109, in the list of top men's international goal scorers.
Greenwood said he had learned a lesson from the incident, which resulted in his being dropped from the squad for Tuesday's Nations League match in Denmark, along with Manchester City midfielder Phil Foden.
All players or club staff who have tested positive will self-isolate for a period of 10 days.
A video posted on social media in Iceland showed Foden and Greenwood meeting women from outside the team bubble. Reports said they had brought them back to England's team hotel, but the manager said that was not the case.
Greenwood has earned a first England call-up after a breakthrough season at Old Trafford, where he established himself in Ole Gunnar Solskjaer's first-choice attack.
UEFA Nations League: Gareth Southgate defends inclusion of Manchester City, United players in England squad
Southgate opted to call up players from the Etihad and Old Trafford for next month's Nations League fixtures away to Iceland and Denmark even though they featured in European club competitions in August.
UEFA Nations League: Harry Maguire withdrawn from England squad after conviction in Greece for assault
Southgate had included Maguire in his England team after backing the defender's version of events and receiving an apology for being detained after a brawl last week while on vacation on the island of Mykonos.
Europa League: Bruno Fernandes converts penalty against FC Copenhagen to take Manchester United into semis; Inter Milan seal last-four spot
Bruno Fernandes scored a penalty in extra time as Manchester United scraped past FC Copenhagen 1-0 on Monday in the quarter-finals of the Europa League
FA Cup: Chelsea wary of Manchester United's potent front three, says Frank Lampard ahead of semi-final
Lampard also said the mid-season addition of midfielder Bruno Fernandes has vastly improved United’s attack as Ole Gunnar Solskjaer’s side look to extend their unbeaten run in all competitions to 20 games.
Premier League: Manchester United maintain winning streak with victory over Aston Villa; Tottenham held by Bournemouth
United stayed in fifth place but moved to within a point of fourth-place Leicester, whose long stay in the top four could soon be over.