Metropolitan Police officers attended reports of an incident at the England international's apartment after being called by the woman.
The 19-year-old was arrested by officers and taken into police custody before being released on bail.
Callum Hudson-Odoi was arrested on suspicion of rape on Sunday morning.
Police attended Hudson-Odoi's apartment after a model he met online rang an ambulance.
A police spokesman said: 'Police and London Ambulance Service were called at 03:53hrs on Sunday, 17 May to a report of an unwell woman.
The Sun reported that Hudson-Odoi met the woman online and invited her to his home, in breach of lockdown guidelines, sending a vehicle to collect her.
Hudson-Odoi has emerged as one of the Premier League club's most exciting prospects over the past two seasons. »