The Spain international has been heavily linked with a move to Manchester United in recent months.
Starsport understands Morata, 24, is keen to leave the Bernabeu this summer.
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The striker’s agent Juanma Lopez informed Real’s general director, Jose Angel Sanchez, on Friday that the striker wants to get more game time elsewhere.
United are yet to make a bid for Morata but formal discussions are now set to take place over a move Old Trafford.
And Morata’s Real and Spain team-mate Ramos has discussed the hitman leaving the La Liga giants, claiming he wants him to stay.
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Alvaro Morata’s stunning girlfriend Alice Campello INSTAGRAM
Alvaro Morata’s stunning girlfriend Alice Campello
“It is not up to me if he stays. I wish everyone stays”
“We’ll see what happens with Morata,” said Ramos. “I wish him the best and he’ll decide what will happen.
“I have a special affection for him and I always wish him the best. It is not up to me if he stays. I wish everyone stays.”
Morata struggled to get game time under Zinedine Zidane this season.
Cristiano Ronaldo, Gareth Bale and Karim Benzema have lead Real’s attack under the Frenchman.
Man United target Alvaro Morata scores beauty for Spain
Real had another remarkable season, with Zidane guiding the Spanish giants to a La Liga and Champions League double.
Mourinho will spend big this summer after United’s Europa League triumph secured Champions League football for next term.
The Red Devils chief is also under immense pressure to mount a title charge at Old Trafford.