3:37 PM PT -- Graham spoke with reporters for the first time since his arrest last month ... and he said he's ready to put the incident behind him.
"I'll be fine in the long run," told the media on Thursday. "Just want to thank the organization and everybody that was with me through those couple of days, my teammates and my close family. Just appreciate everybody and all the concern."
Graham said he will keep his health status to himself ... and would not comment on whether he did, in fact, suffer a seizure.
The tight end also thanked LAPD for its help during the incident.
NFL tight end Jimmy Graham can enter the 2023 season breathing a sigh of relief -- TMZ Sports has learned the New Orleans Saints star will NOT face criminal charges following his training camp arrest.
We're told the Orange County District Attorney's Office decided not to move forward with the case due to insufficient evidence ... meaning Graham will not have any potential legal trouble hanging over his head stemming from the Aug. 18 incident leading up to Week 1.
We broke the story -- 36-year-old Graham was arrested near a Newport Beach resort after cops say they observed him walking in traffic. When they tried to take him into custody, he resisted.
We obtained video of Graham prior to the arrest ... showing staffers chasing him as he ran through the resort grounds.
According to the arrest report, officers believed he was under the influence of a stimulant ... but the team said Graham may have experienced a medical episode, as he was taken to a nearby hospital later that night.
Graham was booked on suspicion of being under the influence of a controlled substance and resisting, delaying and obstructing a police officer -- both misdemeanors -- but as of now, he's in the clear.