Over the weekend he uploaded a photo posing with a rifle and a dead ram, seemingly from a recent hunting trip.
The image was seen by rivals fans as incendiary, with East Midlands competitors Derby nicknamed the Rams.
Al-Hasawi was involved in a row with Derby supporters on Twitter last month, as reported the Nottingham Post, in which he taunted them over their failed promotion campaign.
The Guardian reported earlier this year how the club owner reported Derby fans to the police for vandalising his car after Forest's win over their rivals in January.
His decision to inflame the bitter relations between the two sets of fans comes as ill advised, especially combined within the bad press concerning animal hunting in the national media at present.
The Championship season begins next weekend, but the two sides do not meet until Derby visit the City Ground on November 6.
Al-Hasawi's post prompted an inevitably critical response from Derby fans on Twitter, who expressed a dim view on his decision to upload the picture.
Here is a look at the reaction...
Fawaz just showing up his club for what he and it is, small time #dcfc— Shane Milburn (@Sheepshufter) August 2, 2015
Most futile act of the year? Some Forest fans defending Fawaz following his latest piece of brainless stupidity. Straight-jacket reqd #dcfc— Ian Redfern (@redfern_ian) August 2, 2015
Disgraceful from Fawaz, very poorly timed instagram post given recent press #dcfc— Callum Slaney (@callumslaney) August 1, 2015