A court date for Maguire has been set for Tuesday the 27-year-old can be represented by his lawyer and will now return home.
It is not clear what specific charges the 27-year-old defender faces.
Harry Maguire did not comment after leaving court on Saturday and his lawyer told Sky he was a free man “right now”.
The Syros prosecutor’s office said on Friday that “three foreigners” had been arrested after an alleged altercation with police officers in Mykonos on Thursday.
The police say a file has been opened which includes accusations of “violence against officials, disobedience, bodily harm, insult and attempted bribery of an official”.
Harry Maguire, who was on holiday in Greece, joined United from Leicester for £80m – a world record fee for a defender – in August 2019.
A United statement said: “Following the appearance in court today we note the adjournment of the case to allow the legal team to consider the case file.
“Harry has pleaded not guilty to the charges. It would be inappropriate for the player or club to comment further while the legal process takes its course.”
Greek police said in a report on Friday that officers had tried to break up an argument between two groups outside a bar and that the three foreigners had then verbally abused and assaulted one of the officers.
The report claimed that after arriving at Mykonos police station, the three arrested individuals then “strongly resisted, pushing and hitting three police” and that “one of the detainees tried to offer money so that the trial against them would not be completed”.