The post was a reference to the shirt Green wore during the parade, mocking the Cleveland Cavaliers with the "Q" logo from its Quicken Loans Arena. The shirt read "Quickie," with a Larry O'Brien trophy in the background.
It was a reference to the Cavaliers' 2016 NBA Finals win against the Warriors, sandwiched in between two Warriors titles.
James responded by taking a screenshot of Green wearing the shirt and firing off a "that's what she said" response.
James' Instagram post has nearly 1.2 million likes, including several from NBA superstars.
Earlier in the day, James posted a photo of himself working out, while sporting a new closely-shaved head.
"Bald head nut," James wrote.
Green responded to that photo after the James' "quickie' dis, taking a screenshot and writing: "Them dubs finally made him go bald!!! Congrats bro @kingjames."
While at Thursday's rally, Green took a shot at James again, referencing James saying that he didn't believe he has "played for a superteam."
"I've never played on a superteam," Green said in front of the fans. "You started the superteam bro. I ain't joining a superteam."
Draymond Green takes a shot at LeBron and has his mic cut: 'I never played on a superteam...You started the superteam, bro!' pic.twitter.com/LLe6Xz9nWK— Sports Illustrated (@SInow) June 15, 2017
Green then recited where each of the Warriors were picked in their respective NBA Drafts.
"I can't forget the Ultimate Warrior t-shirt last year from LeBron or the 3-1 tombstone cookies," Green told NBC Bay Area during Thursday's championship rally. "And all of that. I was waiting on this moment. But definitely my guy. That's family."
Draymond Green on how he's been waiting since he saw LeBron's Ultimae Warrior shirt last year to get back at him "I'm petty" pic.twitter.com/WgUc2w4c8j— gifdsports (@gifdsports) June 15, 2017
"I'm petty. I've been waiting for a while coming up with ideas."