HOUSTON — In his first public comments since his one-game suspension for his role in an on-court argument with teammate Kevin Durant, Warriors forward Draymond Green insisted Golden State will emerge better from this adversity.

“What you must know is that nobody in this organization, from a player — not myself, not Kevin, not anybody else — is going to beat us,” Green, who was available for Thursday night’s game against the Rockets, said after morning shootaround at Toyota Center. “If you’re one of those 29 other teams, you’ve got to beat us. We’re not going to beat us. We’re going to do what we do.

“This only makes Kevin, myself and the rest of my teammates stronger; that’s what it’s going to do. You think you saw something before, good luck with us now. We’re not going to crumble off of an argument. We’re going to move forward. That’s all I’ve got to say.”

Green was suspended without pay for Tuesday night’s win over Atlanta, a day after he challenged Durant about his impending free agency and repeatedly called him a “bitch” during a team huddle late in an overtime loss to the Clippers. Green didn’t offer a public apology Thursday and reportedly plans to appeal the franchise’s $120,480 fine with the help of the National Basketball Players Association.

That Golden State levied a public punishment against its emotional leader, effectively siding with Durant, prompted speculation about the potential demise of the Warriors’ dynasty. Green said he read numerous articles predicting his tirade would force Durant to leave in free agency next summer and cause an irreparable internal divide.

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Green is intent on quashing those narratives. He said he and Durant have discussed their recent spat, which came after Green didn’t find Durant for a possible game-winning shot, and are eager to move past it.

The two All-Stars were seen walking into shootaround together Thursday morning. Toward the end of the session, Green and Durant took turns shooting free throws. When Green finished, he turned around and high-fived Durant before taking his seat.

Speaking with reporters, Green showed no remorse for his actions Monday and instead kept the focus on how the team can move forward. That starts with respecting each other’s approach to free agency; Green three days earlier had accused Durant of making this season all about his upcoming decision.

“Whatever Kevin decides to do (in free agency), whatever Klay (Thompson) decides to do, whatever who decides to do, we had great years together. I support everybody wholeheartedly 100 percent,” Green said.

Head coach Steve Kerr said he spoke to the team before Thursday’s morning shootaround, which he called “pretty quiet.”

“I can tell you that I’m extremely confident in this team’s ability to get through any adversity,” said Kerr, declining to detail his talk with the team. “The last time we were in this building, we won a Game 7 (in the Western Conference Finals) against a great team. We’re down 15 in the second quarter.

“I know what this team’s made of. I know the character. I know the history of this group. It’s way too strong, and it’s way too powerful to be upended by the type of adversity that can hit any team in this league. So, we’re going to get through this.”

One of Green’s biggest strengths — his bravado — also can be his undoing at times. Green has shown that, after his emotions get the best of him, he tends to do a better job of channeling his aggressiveness.

How he rebounds from Monday’s transgression could go a long way in determining the trajectory of Golden State’s season.

“There’s no secret that I am an emotional player,” Green said. “I wear my emotions on my sleeve. I play with that same emotion. Sometimes it gets the best of me, and it doesn’t work to my favor.

“I’m going to live with that because it works in my favor to the good, as my resume speaks and this team’s resume speaks, more so than it doesn’t. So, I’m never going to change who I am. I’m going to approach it the same way that I always do.”

Warriors-Rockets Thursday night’s game ended too late for this edition. For complete coverage, visit www.sfchronicle.com/sports.

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Added Kerr: “I know Draymond’s got a huge heart. He’s a champion. He’s a winner. He’s so passionate that at times he goes over the edge, but he always comes back. I know that he’s going to come back, and he’ll be his usual competitive, compassionate self.”

Connor Letourneau is a San Francisco Chronicle staff writer. Email: cletourneau@sfchronicle.com. Twitter: @Con_Chron