The Argentina international is keen to move to Anfield but United boss Sir Alex Ferguson has refused to sanction the transfer to his club's bitter rivals.
"I want a quick solution. My lawyers have told me a meeting with the Premier League is possible to advance the matter next week," Heinze told The People.
"The club had guaranteed my transfer if a good offer came in and nobody specified anything about the club whether it be a foreign team or Liverpool.
"I am a total professional and I have always behaved as such. Now I just ask that they respect me and accept what I was promised.
"It is incomprehensible and, that aside, they are affecting me as a professional not being able to go to another club.
"I have respected Ferguson since I arrived at Manchester. I don't want any conflict with United and neither do I have anything against the fans. They have always treated me perfectly and I have given everything for the club."