Reports circulated on Thursday night that McLeish, who did manage to secure the services of Kuwaiti goalkeeper Khaled Al-Rashidi, was unhappy after George Boyd's proposed move collapsed at the 11th hour over what Peterborough described as an "inconclusive eye test".
However, in a statement on the club's official website, Al Hasawi insists the pair's relationship is as good as ever and denies interfering with transfers.
He said: "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. 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."
After missing out on new additions, McLeish and Al Hasawi met at the club's training ground on Friday to discuss possible targets in the emergency loan window, which re-opens next week.
"Alex and I have spoken at length and he has already outlined to me the kind of players he would like to bring in on emergency loan," he added. "Whatever players he asks for I will try my hardest to bring to Nottingham Forest.
"I've heard it suggested that my family don't have the money to fund what we are trying to achieve at Forest or that we don't have any idea what we are doing.
"That upsets me because all I want is to make this great club successful, but the last word on transfers will always be with the manager."