The Manchester City striker enjoyed a productive loan spell at the Spanish club last season.
But Real failed to meet an agreed deadline to sign him for around ?14million.
Happy days: Emmanuel Adebayor enjoyed a successful loan spell with Real Madrid last season
Blackburn Rovers and Zenit St Petersburg are also interested in signing Adebayor but he has made it clear he wants to move to La Liga.
And he claims Real boss Jose Mourinho has promised that he will do all he can to bring him on board.
'I am prepared to wait until the last minute of the window on 31st August,' Adebayor told Spanish daily Marca.
Deadly: Adebayor helped Real knock Tottenham out of the Champions League
'On my last day working with the club, my team-mates demanded that I be brought back for next season.
'Mourinho told me he will do everything to bring me back and I am optimistic that a deal can be done.
'For me, Real are everything. I love the club.
Wanted: Adebayor claims Jose Mourinho will do all he can to sign him
'I don't believe that Manchester City will create any problems and will be happy to sell. I don't think I am of interest to coach Roberto Mancini.
'During my loan last season I scored eight goals and that is not a bad return.
'I think I completed my mission, but people in Madrid have not seen the true Adebayor. I can still do much better.'
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?Explore more:People: Roberto Mancini, Emmanuel Adebayor, Jose Mourinho Places: Madrid
Source: Daily Mail
Source: Daily Mail