The Spaniard admits he was surprised by Sir Alex Ferguson's decision to retire but says he is looking to forward to the former Everton boss taking charge at Old Trafford
The 50-year-old Scot will officially take charge at Old Trafford on July 1 after Sir Alex Ferguson called time on his 26-year reign at the club at the end of the last campaign.
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"It was a surprise to us all that Ferguson left," De Gea told reporters.
"But we know that when we get back to training he [Moyes] will be there and it is going to be a pleasure to work with him."
Spain have already secured a place in the semi-final of the European Championship with one group match remaining following wins against Russia and Germany.
"We are into the semi-finals again and we are very happy with that," said De Gea.
"They are all good teams when you get to this stage of a tournament, they all have a lot of quality.
"It will be difficult whoever we face. We have had two tough games and, thankfully, we have been lucky enough to get through."