The former Manchester United forward is said to be unsettled in Marseille and keen to return home to England.
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But Greenwood, after helping OM clinch a Champions League return, said: "I hope to be here next year for the Champions League.
"All the other players tell me that the stadium is something special. I think it's been a very positive season, we've reached our objective.
He added: "I feel at home here. I recently had a baby here with my girlfriend.
"Not a lot of people get to experience that kind of thing here, and with all my teammates and coaches, I would like to thank them all."