Reports have claimed that the Scot is prepared to leave the City Ground after just six matches in charge due to a bust-up with Al Hasawi over transfers.
Peterborough forward George Boyd had looked set to join Forest on transfer deadline day but the club refused to sanction the move after the player's medical revealed a problem with his eyesight.
Al Hasawi told the club's official website: "Alex and I talk every day, at least twice a day. We have a very good working relationship and it troubles me greatly that people think otherwise.
"I have been involved in football for 15 years and have never interfered when it comes to the players a manager wants to sign. I didn't do that in Kuwait and I haven't done it since we purchased Nottingham Forest last summer.
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"Yes, I have recommended players to managers but the final decision rests with them, not me. We have signed 18 players for Forest this season and all of them were either chosen by Alex McLeish or Sean O'Driscoll.
"All I want to see is Nottingham Forest back in the Premier League - and if that means I have to sign another 18 players that Alex wants then I will do it.
"Alex and I have spoken at length today and he has already outlined to me the kind of players he would like to bring in on emergency loan. Whatever players he asks for I will try my hardest to bring to Nottingham Forest."
McLeish has won just one match since replacing Sean O'Driscoll as Forest boss and takes on former club Birmingham City at St Andrew's on Saturday.