The former PSG ace met with United boss Sir Alex Ferguson on Monday.
Heinze said: “I’ve spoken with the coach and I have insisted that my wish is to leave the club if a big offer appears on the table.
“Today the only such offer is from Liverpool and it is this that is causing the problem. Earlier in the summer I received a promise from United that I could leave if the deal was good for both parties and at the moment there is an offer from Liverpool.
“The coach is serious about this and I understand his view. But I am serious, too. My lawyers are studying the situation and I’m going to wait for a few days now to get a full report from them.”
Heinze told the Daily Mail: “All I want now is a swift solution to this saga.
“I’ve fulfilled my duties by returning for training and I will now carry on behaving like a professional. I will keep on coming to training and will see what happens. I have a muscle injury in my leg but it is only minor and will not keep me out for long.
“People keep saying that there’s an offer for me from Juventus but I know nothing about it. Liverpool is the only offer so far.
“I don’t want to spend time at the club just waiting and not playing as I don’t think that is in the best interests of the club or myself.”