The La Liga outfit signed the striker on loan from the Red Devils after it was confirmed that he would be leaving Old Trafford last week following a six-month internal investigation.
Greenwood was charged with attempted rape, domestic violence and controlling behaviour in January 2022, but the Crown Prosecution Service dropped the charges against him in February this year after the withdrawal of key witnesses and the emergence of new evidence.
After the announcement was made official, a bunch of supporters outside the Coliseum Alfonso Perez stadium were spotted dancing in jubilation.
Getafe shared a video from the official handle with a caption that read: "The Coliseum a few minutes ago. Welcome @masongreenwood"
Greenwood has been out of competitive action since January 2022 and it is unlikely that he will make his debut Getafe against Real Madrid on Saturday. However, he is most likely to feature against Osasuna after the international break on September 17.