Correct me if I'm wrong, but I don't think the bible says anything about this concept at all. Nevertheless, many Christians will tell you that there is free will in heaven. In my mind this is a self defeating belief because in the same sentence they will tell you that there is also no sin and no suffering or disease etc. in heaven. Christians typically define sin as that which goes against the wishes of god. Already, we've encountered our first paradoxical statement, if there is no sin in heaven, that means everyone will only be doing that which is in accordance to gods wishes, if you had free will on the other hand you would be free to do whatever was in accordance with your wishes. The reason they want to believe that they have free will in heaven is because of their belief that god wanted people to love him freely and not be "robots".
Let's give them the benefit of the doubt for the time being and say that it was possible to have free will and be sinless in heaven. We encounter another semi-paradox here, if heaven was the perfect world, where people had free will, never committed sins and where there was no suffering, then why didn't god create that kind of world in the first place?
One objection to my arguments could be that people have free will, but in the presence of god it is impossible to commit sins. This objection falls flat on it's face almost immediately, because according to christian lore, the devil was an angel that rebelled against god, and was cast out of heaven as a result.