Irsay was arrested in March on suspicion of driving while intoxicated and was also charged for possession of a controlled substance.
The 54-year-old checked into a healthcare clinic to deal with his problems but has now returned to the fold to promote his side's campaign to host the Super Bowl in the 2017 season.
"I have been clued into everything for the last few months. I'm not going to talk about personal medical issues," Irsay told NFL Network.
The Colts previously hosted the Super Bowl in the 2011 season.