The Real Madrid striker returned to the Bernabeu last year after two successful seasons at Juventus.
But the Spain striker has been unable to displace Karim Benzema as Zinedine Zidane's lead forward alongside Cristiano Ronaldo and Gareth Bale.
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Chelsea are understood to be interested in signing Morata should Diego Costa leave in the summer.
And the 24-year-old has revealed he's been approached by Blues boss Antonio Conte and Spurs coach Mauricio Pochettino.
Real Madrid's Alvaro Morata
He told The Guardian: “Various Premier League coaches called to tell me to play for them. I said yeah, I’d like to, that if I had to leave I would almost certainly go to London, but that I didn’t know what Madrid would do.
"I knew they’d bring me back but I didn’t know if it was to keep me or sell me. I spoke directly to Mauricio Pochettino and Antonio Conte, although the norm is clubs call my dad or agent. Madrid said they didn’t want to sell, so here I am.”
Alvaro Morata could leave Real in the summer
When asked what his response would be if Chelsea made another approach, Morata added: “I’m very happy at Madrid and they support me.
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“But if an offer like that came again and they want to sell, I shouldn’t close doors. I loved Italy but if one day I have to leave, I’m sure it will be to the Premier League.”