The 19-year-old was taken into custody and the woman, who called the police and an ambulance, was taken to hospital.
A Metropolitan Police spokesman confirmed that an arrest had been made at Hudson-Odoi’s apartment after they were called there shortly before 4am.
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“Police and London Ambulance Service were called at 03:53hrs on Sunday 17 May to a report of an unwell woman,” the Met said.
Chelsea declined to comment.
He was one of the first Premier League footballers to test positive with coronavirus in March, the week before all games were suspended.
Shortly afterwards, he published a video on his social media channels to say that he had recovered from the virus.
“Guys, as you may be aware, I’ve had the virus for the last couple of days which I’ve recovered from,” he said.
“I’ve followed the guidelines and will be self-isolating for a week.
“I hope to see everybody soon, and hopefully we can get back on the pitch soon. Take care.”