Rooney changed his mind after he last asked to leave Old Trafford but the British press report that he has again set his sights on a departure.
Incoming United boss David Moyes will have work to do to convince the striker, whom he worked with at Everton, to stay.
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Chelsea have struggled to build momentum in the opening stages of the campaign and are currently looking over their shoulders at the relegation zone.
Who of Europe’s top strikers will move to England this summer?